What are the zeros of the polynomial function?

f(x)=x4−2x3−103x2+200x+300


Select each correct answer.




−10

−3

−1

0

3

10

Answers

Answer 1

Answer:

x=−10, 10, 3, −1

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x axis. To find the roots (zeros), replace y with 0 and solve for x.

Answer 2

The zeroes of the polynomial is (x+1) (x-3)(x+ 10) (x- 10).

What are zeroes of polynomial?

The locations where a polynomial becomes zero overall are known as the zeros of the polynomial. The term "zero polynomial" refers to a polynomial with a value of zero (0). The highest power of the variable x is referred to as a polynomial's degree. A linear polynomial is a polynomial with degree 1.

By looking at the places on the graph where the graph line intersects the x-axis, one can determine a polynomial's zeros. The zeros of the polynomial are the x-coordinates of the sites where the graph crosses the x-axis.

Given:

[tex]x^4-2x^3-103x^2+200x+300[/tex]

Now, use root rational theorem

=(x+1) [tex]x^4-2x^3-103x^2+200x+300[/tex]/ (x+1)

Now, dividing

= [tex]x^4-2x^3-103x^2+200x+300[/tex]/ (x+1)

=  [tex]x^3-3x^2-100x+300[/tex]

Again,

= (x+1)( [tex]x^3-3x^2-100x+300[/tex])

= (x+1) (x-3)(x+ 10) (x- 10)

Hence, the zeroes of the polynomial is (x+1) (x-3)(x+ 10) (x- 10).

Learn more about zeroes of the polynomial here:

https://brainly.com/question/16979077

#SPJ2


Related Questions

) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station

Answers

Complete Question

The probability that a single radar station will detect an enemy plane is 0.65.

(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?

(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane? (Round your answer to one decimal place.)

Answer:

a

 [tex]n \approx 4[/tex]  

b

Step-by-step explanation:

From the question we are told that

The probability that a single radar station will detect an enemy plane is [tex]p =0.65[/tex]

 Gnerally the probability that an enemy plane flying over will be detected by at least one station is mathematically represented as

     [tex]P(X \ge 1 ) = 0.98[/tex]

=>   [tex]P(X \ge 1 ) = 1 - P(X < 1) = 0.98[/tex]

=>   [tex]P(X = 0) = 1 - 0.98[/tex]     Note [tex]P(X < 1) = P(X = 0)[/tex]

=>   [tex]P(X = 0) = 1 - 0.98[/tex]

=>   [tex]P(X = 0) = 0.02[/tex]

Generally from binomial probability distribution function

     [tex]P(X = 0) = ^nC_0 * p^{0} * (1- p)^{n- 0}[/tex]

Here C represents combination hence we will be making use of of combination functionality in our  calculators

Generally any number combination 0  is  1

So  

     [tex]P(X = 1) = 1 * 1* (1- 0.65)^{n- 0} = 0.02[/tex]

=>  [tex](1- 0.65)^{n- 1} = 0.02[/tex]

taking log of both sides

     [tex]log [(0.35)^{n- 1} ] = log (0.02)[/tex]

=>  [tex]{n- 1}log[0.35] = -1.699[/tex]

=>  [tex]{n- 1}* -0.4559 = -1.699[/tex]

=>  [tex]n= 3.7264 + 1[/tex]

=>  [tex]n= 4.7264[/tex]

=>  [tex]n \approx 4[/tex]  

Gnerally the expected number of stations that will detect an enemy plane is  

    [tex]E(X) = 7 * 0.65[/tex]

=> [tex]E(X) \approx4.5[/tex]

HELP MEH PLZ! THIS IS DUE TODAY! 1ST GETS BRAINILIEST!
What was the significance and lasting impact of Hammurabi’s Code?
EXPLAIN

Answers

Known today as the Code of Hammurabi, the 282 laws are one of the earliest and more complete written legal codes from ancient times. The codes have served as a model for establishing justice in other cultures and are believed to have influenced laws established by Hebrew scribes, including those in the Book of Exodus.

Answer:

The Hammurabi Code is significant because it is one of the earliest complete written legal law codes that were used in the ancient times. The lasting impact is that the Hammurabi Code helped established the idea of legal laws and rules that will help shape society for the greater good. Also they helped served as a model for what laws we have and will continue to have.

What is the equation to y = 4x

Answers

It is 8 the answer of it

Answer:

20x - 5y= -5

6x- 5y= 9

14x= - 14

x= - 14by4= - 1

put value in equation2

6( - 1) - 5y= 9

- 5y= 9 plus 6

- 5y= 15

y= -15 by5= - 3

A 40 : 1 scale model of an airplane is being used to conduct wind-tunnel tests. If the model is 4.5 feet long, how long is the actual airplane

Answers

Answer:

180 ft

Step-by-step explanation:

We are told that the scale model is 40:1. And that it's being used to conduct wind - tunnel tests.

This means 40 units represents 1ft.

This means that 4.5ft will be;

(4.5 × 40)/1 = 180 ft

Thus, the actual length of airplane would be 180 ft.

Which graph has a y-intercept of - 1/2 ?

Answers

Answer:

B

Step-by-step explanation:

It Going Down 1 across 2

​You purchase 3 items for $4.23. About how much did you spend?

Answers

Answer:

12,69 hope this helps<3 can i have brainly?:)

Step-by-step explanation:

A plumber charges his customers $90 for each hour he works. If Mr. Hall's bill for
plumbing services is $855, which equation could be used to determine the number of
hours the plumber worked?

Answers

B because the total is $855 which is the y value and x is the hours worked which would be multiplied by 90 cause that is how much the plumber charges (my explanation probably doesn't make much sense sorry)

The equation that represents the number of hours the plumber worked is

90(x) = 855.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, A plumber charges his customers $90 for each hour he works.

Assuming the no. of hours to be 'x'.

∴ The equation that represents the number of hours the plumber worked is

90(x) = 855.

learn more about equations here :

https://brainly.com/question/29657992

#SPJ2

Tamara has $42.00 to buy party decorations. She wants to buy 3 packs of party hats, 2 bags of balloons, and a banner. The price of each item is shown and includes tax. How much money will Tamara have left? Item Price Pack of: Hats $6.74, Bag of Balloons $4.28, Banner $11.00 *

Answers

Answer:

She will have $2.22 remaining.

Step-by-step explanation:

Hope this helps! <3

Cam can't figure what to eat. He is going to randomly select a piece of fruit from his pantry. These are 4 apples and 5 bananas in his pantry.
What is P( select and apple)?

Answers

Answer:

4/9

Step-by-step explanation:

Cam has 4 apples and 5 bananas he can choose from. This is a total of 4 + 5 = 9 pieces of fruit.

P(Selecting an apple) = # apples / Total # of choices = 4/9

Answer:

0.44

Step-by-step explanation:

P(select an apple)= 4/9 = 0.44

Khan Academy

A supermarket has been experiencing long lines during peak periods of the day. The problem is noticeably worse on certain days of the week, and the peak periods sometimes differ according to the day of the week. There are usually enough workers on the job to open all cash registers. The problem is knowing when to call some of the workers who are stocking shelves up to the front to work the checkout counters. How might business analytics help the supermarket? What data would be needed to facilitate good decisions?

Answers

Answer:

Step-by-step explanation:

As you will have understood, processing this information qualitatively by giving it meaning is essential for understanding the market in which the company is positioned and anticipating its evolution. In this sense, the business analysis contributes to the performance of results.

Why do a business analysis?

Relevant business analysis can exhaustively list and understand the reasons for a sale's success or failure. It facilitates decision-making, the reproduction of a sales performance while constituting a source of motivation for the sales team members in the field.

The role of Business analytics would assist the supermarket in efficiently scheduling their workers. This would help to reduce congestion at the checkout counter and offer customers an improved shopping experience. Thus, the supermarket can exploit its labor resource effectively and efficiently with the assistance of business analytics.

The data needed to facilitate good decisions are:

Number in terms of customers getting to the checkout counters, relating to the day and time of checkout.The minimum regular amount of time customers usually use in the store will assist in planning ahead. Numbers in terms of the customer standing in the queue, if any.The population of workers situated in the store.

In the diagram below BAC = 24 and AB = AC

If ABC = y. What is the value of y?

Answers

Answer:

Since AB  = AC  ....the angles opposite these sides are also equal...

So   y   =    [ 180 - 24 ] / 2   =  156 /  2    =   78°

Step-by-step explanation:

Hope that helps, let me know if theres anything wrong with my answer

please click thanks button or something

thanks babe!

Twila had a yard sale at her house. She sold everything at her sale for $3.45.
On the first day Twila sold 46 items. On the second day of the sale she sold 25
items.

Answers

Answer:

244.95

Step-by-step explanation:

i hope this what you want

Which statement is true? ( I-ready Level E)
A. All parallelograms are rhombuses
B. All parallelograms are quadrilaterals
C. All parallelograms are squares
D. All parallelograms are rectangles

Answers

Answer:

B. All parallelograms are quadrilaterals

Step-by-step explanation:

A. Some parallelograms are rhombuses

B. All parallelograms are quadrilaterals

C. Some parallelograms are squares

D. Some parallelograms are rectangles

The statement i.e. true is to be considered when all parallelograms should be quadrilaterals. Therefore, option b is correct.

What is parallelogram?

In terms of geometry, a parallelogram should refer to the quadrilateral that comprise of  two pairs of parallel sides. The opposite or facing sides of a parallelogram should be of equal length and the opposite angles of a parallelogram should be of equal measure

hence, The statement i.e. true is to be considered when all parallelograms should be quadrilaterals. Therefore, option b is correct.

Learn more about parallelograms here: https://brainly.com/question/18057835

A company has 2 machines that produce widgets. An older machine produces 23% defective widgets, while the new machine produces only 8% defective widgets. Besides, the new machine produces 3 times as many widgets as the older machine does. Given that a randomly chosen widget was tested and was found to be defective, what is the probability that it was produced by the new machine

Answers

Answer:

The value is  [tex]P(Z' | N )= 0.92[/tex]

Step-by-step explanation:

From the question we are told that

   The proportion of defective widgets produced by older widget is  [tex]p = 23\% = 0.23[/tex]

  The proportion of defective widgets produced by new  widget is  

[tex]q = 0.08[/tex]

Generally since we are considering the new machine in this question it then mean that the probability that widget was defective given that it was produce by the new machine is

      [tex]P(Z | N ) = 0.08[/tex]

Here Z  is the event that the widget was defective

         N  is the even that the widget was produced by the new machine

Also  the probability that the widget was defective given that it was not produced by the new machine is  

      [tex]P(Z | N') = 0.23[/tex]

Generally  from the question the probability that the widget was produced by the new machine is mathematically represented as

      [tex]P( N) = \frac{3}{4}[/tex]

=>   [tex]P( N) = 0.75[/tex]

Generally the probability that the widget is defective  and that  it was produced by the new  is mathematically represented as

      [tex]P( Z\ n \ N) = P(Z | N ) * P(N)[/tex]

=>   [tex]P( Z\ n \ N) = 0.08 * 0.75[/tex]

=>   [tex]P( Z\ n \ N) = 0.06[/tex]

Generally the probability that the widget is defective and that  it was not produced by the new machine is

     [tex]P(Z\ n \ N') = P( Z | N' ) * [1 -P(N)][/tex]

=>   [tex]P(Z\ n \ N') = 0.23 * [1 -0.75][/tex]

=>   [tex]P(Z\ n \ N') =0.0575[/tex]

Generally the probability that the widget is defective is  

       [tex]P(Z) = P(Z \ n \ N) + P(Z \ n \ N')[/tex]

=>     [tex]P(Z) = 0.06 + 0.0575[/tex]

=>     [tex]P(Z) = 0.1175[/tex]

Generally the probability that the widget is not defective and it produced by the new machine is mathematically represented as

      [tex]P(Z' \ n \ N ) = P(N ) - P(Z \ n \ N)[/tex]

=>    [tex]P(Z' \ n \ N ) =0.75 - 0.06[/tex]

=>    [tex]P(Z' \ n \ N ) =0.69[/tex]

Generally the probability that the widget was produced by the new machine,given that a randomly chosen widget was tested and was found to be defective is mathematically represented as

       [tex]P(Z' | N ) =\frac{P(Z' \ n \ N)}{P(N)}[/tex]

=>     [tex]P(Z' | N )= \frac{0.69}{0.75}[/tex]

=>     [tex]P(Z' | N )= 0.92[/tex]

convert 0.86 into a fraction and reduce the answer to the lowest terms.

Answers

Answer:

43/50

Step-by-step explanation:

86/100  Divide by 2

43/50

Can't be reduced anymore.

Hope this helped!

Is 32,643 divisible by both 3 and 9, why or why not??

Answers

Answer: yes it is divisible by 3 and 9

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

if you add all the digits you get 18. according to the divisibility rules, if this is divisible by 9, then both 9 and 3 should be divisible. 18 is divisible by 9, therefore 32,643 is divisible by both 3 and 9

pls help its closing tomorrow

Answers

Answer:

Stage 1: Simplify each side, if necessary.  

Stage 2: Use Add orSub. Properties to move the variable term aside and all different terms to the opposite side.  

Stage 3: Use multiplication or division

Stage 4: Check your answer.

Step-by-step explanation:

what decimals represents each number? one and six tenths​

Answers

Answer: 1.6

Step-by-step explanation:

Plz help
Select all the true statements A: dilations always increase the length of line segments. B: Dilations take perpendicular lines to perpendicular lines. C: Dilations of an angle are congruent to the original angle. D: Dilations increase the measure of angles. E: Dilations of a triangle are congruent to the original triangle. F: Dilations of a triangle are similar to the original triangle

Answers

Answer:

Selection of all the true statements:

A: dilations always increase the length of line segments.

B: Dilations take perpendicular lines to perpendicular lines.

C: Dilations of an angle are congruent to the original angle.

F: Dilations of a triangle are similar to the original triangle

Step-by-step explanation:

Dilations are transformations that enlarge or reduce a figure from its original shape and size to another that a bigger or smaller. Dilations create similar figures because multiplying by the scale factor creates proportional sides while leaving the angle measure and the shape the same.  This also implies that dilations of an angle are congruent to the original angle.

-11 + 3(b + 5) = 7
.......

Answers

Answer: b = 1

Step-by-step explanation:

-11 + 3(b + 5) = 7 Given

-11 + 3b + 15 = 7 Distributive property

3b + 4 = 7 Combine like terms

- 4 - 4 Subtraction property

3b = 3 Simplify

b = 3/3 Division property

b = 1 Simplify

Annie made 14 3/5 bags of popcorn for a movie night with some friends. Together they ate 4 2/5 bags of it. How much popcorn was left?​

Answers

Answer:

10 1/5

Step-by-step explanation:

14 3/5 - 4 2/5 = 10 1/5.

Answer:

10 1/5

Step-by-step explanation:

3/5-2/5=1/5

14-4=10

10 1/5

Translation are always

Answers

Answer:

The same shape but in a different location

Step-by-step explanation:

hope i helped u today:)

Determine if Option A or B is a better deal.
Option A- 16 oz. of jelly for $3.30
Option B- 48 oz. of jelly for $8.64
EXPLAIN

Answers

Answer:

Option B cost less per ounce

Step-by-step explanation:

A - 3.30/16 = .21

B - 8.64/48 = .18

Answer:

Option B

Step-by-step explanation:

With option A you get 16 oz. of jelly for $3.30

With option B you get three times the amount of jelly for a better price.

Option B gives you three times the amount of jelly for less than three times the price that it  should be.

It's a good deal.

I hope this helps. (I'm new to this btw)

Please help 15 points pleaseee

Answers

Answer:

i had the same question i think you have to add the num\Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Please Answer for 25 Points!​

Answers

Answer:

Third one

Step-by-step explanation:

y-1-5/(y+3)=[y(y+3)-1(y+3)-5]/y+3

=(y^2+3y-y-3-5)/y+3

=(y^2+2y-8)/y+3

Answer:

The answer is the third one.

Step-by-step explanation:

:)

Elle wants to order candy online. Company A is offering 2.5 pounds of chocolate for $32.50, while Company B is offering 2.75 pounds of the same chocolate for $35.00. Which company is offering the lowest price per pound?

Answers

To determine price per lb, divide dollar amount by lbs.
- Company A sells 2 1/2lbs (2.5lbs) for $32.50
So, Company A's price / lb = ($32.50/2.5lbs) = $13.00/lb

- Company B sells 2 3/4lbs (2.75lbs) for $35.00
And, Company B's price / lb = ($35.00/2.75lbs) = $12.73/lb

Therefore, Company B is offering the lowest price/lb at $12.73/lb.

Please help! ASAP correct answer will get brainliest!!!

Answers

Answer:

It would be Congruent, ASA.

Step-by-step explanation:

You can see there is a line on the side of both triangles meaning they're the same side and a circle in the corner of both triangles, meaning they're the same angle.

Answer:

I can confirm that the answer above me is right

Step-by-step explanation:

You are given that P(A) = 0.5 and P(A ∪ B) = 0.7. Student 1 assumes that A and B are independent and calculates P(B) based on that assumption. Student 2 assumes that A and B are mutually exclusive and calculates P(B) based on that assumption. Find the absolute difference between the tw

Answers

Answer:

The absolute difference between the two calculations is 0.2

Step-by-step explanation:

Student 1

When the events do not affect each other, they are known as independent events. That is, two events are independent if the result of the second event is not affected by the result of the first event.

When two events are independent, the probability that A and B occur is equal to the product of the probability that A occurs and the probability that B occurs. Then:

P(A∩B)= P(A)*P(B)

The probability of the opposite event is equal to 1 minus the probability of the  event. So in this case you have:

P(A'∩B')= 1 - P(A∪B)

Being P(A∪B)= 0.7, then:

P(A'∩B')= 1 -0.7

P(A'∩B')= 0.3

Being P(A)= 0.5 and P(A'), so

0.3= 0.5*P(B)

[tex]P(B')=\frac{0.3}{0.5}[/tex]

P(B')=0.6

Being P(B)= 1 - P(B') so P(B)= 1 - 0.6 and you get P(B)=0.4

Student 2

Two events are mutually exclusive when both cannot occur simultaneously. In other words, two events A and B are incompatible or mutually exclusive when they have no element in common. This is: P(A∩B)= 0

Being P(A∪B) =P(A) + P(B) - P(A∩B), P(A)=0.5 and P(A∪B)= 0.7, you get:

0.7=0.5 + P(B) -0

Solving:

0.7=0.5 + P(B)

0.7 - 0.5 = P(B)

0.2 = P(B)

Finally the absolute difference between the two calculations can be calcutated as:

|0.4 - 0.2|= 0.2

The absolute difference between the two calculations is 0.2

Classify each triangle by its sides.​

Answers

what are the angles of the triangle?
explaination:
There is no picture??

HURRY!! Ned and Ted are mailmen and can deliver x and y pieces of mail per truck load
respectively. However, Ned and make M trips in a day while Ted can only make N
trips in a day. What does x + y stand for?

Answers

Answer:

Total amount of mail delivered

Step-by-step explanation:

Answer:

till all the mail. is delivered

Step-by-step explanation:

Other Questions
Can someone please summarize this, Please? 30pts + Brainliest!The colony of Pennsylvania was established by William Penn as a 'Holy Experiment'. It was given to him by the king in 1681, in payment of a debt he had to Penn's father. Amongst the other English colonies, Penn was the first leader of his colony that established peace with the natives. Then Penn made a peace treaty with the Leni Lenape Indians and bought land from them. He hadn't needed to but did anyway, and it was this act, as well as other kind acts towards the natives that formed peace between them. This also ensured a prosperous beginning for the new settlers of Pennsylvania, as the natives helped them with their crops, learning the way of the land and many other useful things. Neither did they have wars that hurt the population. This is one of the reasons I'd want to live there, it is always good to have good relations, know what I mean? Philadelphia also means "Brotherly Love", I mean, who doesn't want to live in a place with such a groovy name? The government was unlike that in most of the colonies in The New World. It allowed freedom of religion, even though Penn was a Quaker, and they tolerated everyone's' individual beliefs. This also influenced the US's acceptance of every race and nationality. Legislative power in Pennsylvania was given to those elected by the colony. It gave people the freedom of choice, under the Concession. Thus the people were allowed a format of political freedom. The Frame of Government also proclaimed that capital punishment was to be given to those who had committed murder and crimes within that scope. Then in 1775 Pennsylvania was governed as a Proprietary Colony. Though this political view did not last forever, the time of prosperity under these laws was great. The United States Constitution is the supreme law of the United States of America. The Constitution, originally comprising seven articles, delineates the national frame of government, and it is mainly influenced by Philadelphia's form of government. What process best explains how a nerve cell and a muscle cell can both develop from the same fertilized egg?A)gene expressionB)natural selectiontranscriptionDDNA replication What is Pandora's Roman name Determine the quotient below why did angela dislike the church in angelas ashes? What is the half-life of radon-222 if a sample initially contains 120.0 mg and only 18.1 mg after 12.3 days? Mandy took a total of 6 quizzes over the course of 3 weeks. At this rate, attending 5 weeks of school this quarter, how many quizzes will Mandy have taken? When does a quadratic equation have no solutions Match the part of the seed to the function.seed coat[Choose][Choose]endospermprotects the seedthe immature plantembryoprovides nutrition for the embryo - Qu es?libro.- EsO A. unaO B. unosO C. unoO D. un The shark and remora have a relationship that benefits the remora but neither helps nor harms the shark What type of relationship is this All residents have certain rights in the home where do these rights come from what information do we need to determine the molecular formula of a compound from the empirical formula? a truck with a mad of 1500 kg has a negative acceleration of 5 m/s/s, how much forces did this require Write a method called printIndexed that accepts a String as itsparameter and prints the String's characters in order followed bytheir indexes in reverse order. For example, the call ofprintIndexed("ZELDA"); should print Z4E3L2D1A0 to the console. 4. Less-developed nations often struggle to provide food, shelter, and water to their citizens.What is this situation an example of?O A. economic growthO B. povertyO C. human capitalcommand economies find the slope between two points with fractions can I have some help ? Complete the explanation of what happens when you round 7.985 to the nearest tenth.Since there is a in the hundredths place, the number in the tenths place will ___. Since 9 + 1 = 10, a ___ will go in the tenths place and the ____ will be added to the 7 in the ones place making the answer_______ Fill in the circle next to the correct answer.1 What in the story can happen?A A wagon can have wings.B A rock can answer a question C A boy can have a wagon.2 What in the story is make believe ?A A boy has an apple.B A Boy sits a wagon C A boy has a flying wagon3 What is magic in the story?A Jose and the appleB the rock and the wagon C the map and the apple Sight words Circle the two words that are the same.1 red 2 red 3 ride 4 ride 5 rode