A polynomial function has a zero at x = 1 with a multiplicity of 3 and a zero at x = -2 with a multiplicity of 1. The y – intercept for the function is (0, -8). Write an equation for this polynomial.

Answers

Answer 1

Answer:

  f(x) = 4(x -1)^3·(x +2)

Step-by-step explanation:

Each root x=p indicates the function has a factor (x -p). The factor will be repeated according to the multiplicity of the root.

  f(x) = a(x -1)^3·(x +2)

  f(0) = a(-1)^3·2 = -2a = -8   ⇒   a = 4

The factored form of the equation is ...

  f(x) = 4(x -1)^3·(x +2)

A Polynomial Function Has A Zero At X = 1 With A Multiplicity Of 3 And A Zero At X = -2 With A Multiplicity

Related Questions

10. Andy has trumpet practice 4 times every month. Every practice lasts half an hour. What is the total number of minutes that Andy will practice?​

Answers

Answer:

480min a month

Step-by-step explanation:

4×30 =120

120×4=480

45% of the members in a council are female
there are 72 female council
(a) the total number of council members
(b) the number of male council members

Answers

Answer:

45% are female -> 72

100% are total -> x

x= 72• 100/45

x= 7200/45

x= 160

total= male+female

160= male + 72

male= 88

help me out please
and i need a step by step explanation

Answers

Answer: 1 + (-1) + (-4) = -4

Step-by-step explanation:

By counting how many chips there are, you can get the following:

1 positive chip + 1 negative chip + 4 negative chips, which is

+1                      +          -1              + 4 x -1

= 1                     -1                           -4

= -4

Which of the following does NOT represents a function?​

Answers

the answer that does not represent a function is A.


The dimensions of a rectangular garden is 3 m by 10 m. When both dimensions are increased by equal amounts, the area of the garden doubles. What are the dimensions of the new garden?

Answers

Answer:

5 by 12 m

Step-by-step explanation:

The area for rectangle is LxW

The original area is 3*10, or 30 meters.

When both dimensions are increased, now the area is 60.

We can now inch up slowly to see what works:

3.5 and 10.5=36.75 X

4 and 11=40 X

5 and 12=60 YES!

The new dimensions of the garden are 5 m by 12 m, increased by 2, and the new area is 60 meters^2.

what is the equation of a line whose slope is -2 and whose y-intercept is 4?

Answers

Answer:

y=-2x+4

Step-by-step explanation:

if y is 4..it means x intercept is 0

gradient is -2

and we know gradient is the change in y /change in X

so: we let the second intercepts to be (x,y)

so y-4/x-0=-2

multiply by x-0 both sides then collect like terms together

it will be y= -2x+4

square pyramid has _______ spaces​

Answers

Answer:

A square pyramid has five faces: four triangle faces and one square face.

Step-by-step explanation:

Squareee pyramidd has 5 faces

Pete grabbed 18 mixed nuts, StartFraction 2 Over 9 EndFraction of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed?
18 divided by StartFraction 2 Over 9 EndFraction = 81
18 times StartFraction 2 Over 9 EndFraction = 4
StartFraction 2 Over 9 EndFraction divided by 18 = StartFraction 1 Over 81 EndFraction
StartFraction 9 Over 2 EndFraction divided by 18 = one-fourth

Answers

Answer:

18 times StartFraction 2 Over 9 EndFraction = 4

Amount of almonds = 18 × [2/9]

Amount of almonds =  4 almonds

Step-by-step explanation:

Given:

Number of mixed nuts = 18

Probability of almonds = 2/9

Find:

Amount of almonds

Computation:

Amount of almonds = Number of mixed nuts × Probability of almonds

Amount of almonds = 18 × [2/9]

Amount of almonds = 36 / 4

Amount of almonds =  4 almonds

Answer:

IT'S B I CAN CONFIRM BC I JUST FINISHED THE TEST

Step-by-step explanation:

help me please and thank you​

Answers

Here, hope this helps you

Pre college need help with

Answers

Answer:

check online for more information

9 x 6 and explenation will win a brainliest

Answers

Answer:

54

Step-by-step explanation:

9 = 3 x 3

6 = 3 x 2

9 x 6

= 3 x 3 x 3 x 2

= 54

Answer:

54

Step-by-step explanation:

9+9+9+9+9+9 = 54

Hope that helps. Can i have the brainliest :)

can anyone please tell me how to do this​

Answers

Hello there, this problem is just basic addition, here is what it would look like

[tex]52.31+25.90[/tex]

Solve it and we get 78.21

Amount earned on Saturday = $ 52.31

Amount earned on Sunday = $ 25.90

Total amount earned

= $ 52.31 + $ 25.90

= $ 78.21

Therefore, Tara earned $ 78.21 in total. Hope this helps.

Have a nice day.

hi so my teacher gave me this and i am not sure if i did it right, this is what i put for the first Question
degree = 3
leading coefficient = 1
and the it is the arrows are going up/down so its a odd degree
and i put that the answer is d i did the rest like this please tell me where i went wrong/if i did

Answers

Answer:

First, let's look at some polynomials of even degree (specifically, quadratics in the first row of pictures, and quartics in the second row) with positive and negative leading coefficients:❤

Grade 5 Module 3: End-of-Module REVIEW
Name
Date
1.
On Sunday, Sheldon bought 3 kg of plant food. He used 1 kg on his strawberry plants and used kg
for his tomato plants.
a.
How many kilograms of plant food did Sheldon have left? Write one or more equations to show how
you reached your answer.
Ur
orit,
Match
b.
Sheldon wants to feed his strawberry plants 2 more times and his tomato plants two more times.
f plant food as before. How much plant food will he need? Does he

Answers

Answer: a.) 1kg b.) He would need to buy 4 more kilograms (kg) of plant food.

Step-by-step explanation:

The question was not complete, I am not sure about the answer.

Correct me if I am incorrect.

12/14 , 15/, 19/24 which one is greater?

Answers

Step-by-step explanation:

12/14= 85.7143% 19/24= 79.1667%

(b) Find the sum of first twenty terms of the following arithmetic progressions A.P
(i) -4,-1, 2,...
(ii) 2, 3, 5,...
(iii) -2, -5, -8, -11,...

Answers

Answer:

-4*20+3*190=490

2*20+190=230

-2*20-3*190=-610

No links help
Rectangle X is 5 cm long and 3 cm wide. Rectangle Y is similar to Rectangle X. What could be the dimensions of
Rectangle Y?
A)10 cm long and 8 cm wide
B)15 cm long and 9 cm wide
C) 15 cm long and 13 cm wide
D)10 cm long and 3 cm wide

Answers

B) 15cm long and 9cm wide

Pls help need it right now :((
If the standard deviation of of the values 2,4, 6,8 is 2.236, the the standard deviation of the values 4, 8, 12, 20 is?​

Answers

Answer:

5.916

count N : 4

Sum, Ex : 44

Mean , M

Variance , o2 : 35

Step-by-step explanation:

we are creating the mean value of the squares of the differences of each data point to the mean value (variance), and then we pull the square root to bring the differences back to the same dimension as the basic data points.

and since we are dealing with the whole "population" of data points and not only with a sample of a much larger set of data points, that mean value of the differences is a true mean value (divide by n = the number of data points). if we would deal with a sample of a much larger population, we would divide by n-1.

so, how does this work in practice ?

let's go first for the given example :

2, 4, 6, 8.

the mean value is : (2+4+6+8)/4 = 20/4 = 5.

the variance (mean value of the squared differences of each data point to the mean value) :

((2-5)² + (4-5)² + (6-5)² + (8-5)²)/4 = (9+1+1+9)/4 = 20/4 = 5.

the standard deviation is the square root of the variance.

so,

SD = sqrt(5) = 2.236067977...

now for the given problem :

4, 8, 12, 20

the mean value is : (4+8+12+20)/4 = 44/4 = 11.

the variance (mean value of the squared differences of each data point to the mean value) :

((4-11)² + (8-11)² + (12-11)² + (20-11)²)/4 = (49+9+1+81)/4 = 140/4 = 35.

the standard deviation is the square root of the variance.

so,

SD = sqrt(35) = 5.916079783... ≈ 5.916

If y’all show y’all work and do all the questions I add extra extra points

Answers

Answer:

For 5.) I believe the slope is 3/5, for 6.) the slope is -2/8 (-1/4 when simplified) and the y-int is 2, for 7.) the slope is 6/2 (3/1 when simplified), for 8.) the slope is -2/4 (-1/2 when simplified) + the y-int is -3, and for 9.) the slope is 1/6.

Step-by-step explanation:

5.) the slope is 3/5 because it rises 3 and runs 5 (from the two plotted points)

6.) the slope is -2/8 (-1/4) because from the two points, it runs 8 and drops 2 (so -2) + when simplified its -1/4 because -2/8 divided by 2 on top and bottom would get you -1/4. And y-int is 2 because on the y-axis, the line is going through 2.

7.) the slope is 6/2 (3/1) because it rises 6 points and runs 2 (from the two points) and when simplified (6/2 divided by 2 on both top and bottom) would get you 3/1.

8.) the slope is -2/4 (or -1/2) because it runs 4 and drops 2 (which would be -2), and when simplified it gets you -1/2.

9.) the slope is 1/6 because between the two points, you rise one and run 6. Which gets you 1/6

Not sure if these are all correct, but I hope this helps :)!

half of the sum of six and three then divided by 7

Answers

Answer:

45/70

Step-by-step explanation:

easy though thats it

half of 6 is 3, half of 3 is 1.5 1.5 divided by 7 is 0.2142 and 3 divided by 7 is 0.4285

Can anybody help me with these three problems thank you

Answers

Answer:

1) 1/7

2) 1/3

3) 1/4

Step-by-step explanation:

1) Since there are 7 days in a week it can be expressed as the fraction 1/7

2) Since there are 3 feet in a yard it can be expressed as the fraction 1/3

3) Since there are 4 quarts in a gallon it can be expressed as the fraction 1/4

The following ordered pairs represent a function.
(-2,-4) (-1, -2) (0, 0) (1, 2) (2, 4)
Which two ordered pairs can be added to the given set and still have the set represent
a function?

Answers

Answer:

(-3,-6) and (3,6)

Step-by-step explanation:

First, use process of elimination on the answer choices with x coordinates already used in the relation, because a value of x cannot have 2 outputs, or y-values. This leaves you with 2 options. Hope I helped :D


On a game show, a contestant wins $200 by answering questions correctly but loses $300 for
each question answered incorrectly. How much money would a contestant win if she
answered 14 questions correct and I question incorrect?

Answers

Answer:

$2500

Step-by-step explanation:

$200×14=$2800

$2800-$300=$2500

The next number in the arithmetic sequence 15, 22, 29, is:

A) 34
B) 35
C) 36
D) 37​

Answers

ANSWER: C) 36
EXPLANATION: +7 is the sequence

633 divided by 3 rounded to the the 10

Answers

Answer: 211

Step-by-step explanation:

633 divided by 3 answers evenly with no decimal

A car weighs 3.6 tons. Find its weight in pounds.

Answers

The answer is 7,200 :)


If you borrow $2,000 at 5 percent simple interest, how much will you owe
after one year?
O A. You will owe the principal of $2,000 only.
O B. You will owe the principal of $2,000 minus 5 percent of the
principal
O c. You will owe the principal of $2,000 plus 5 percent of the principal.

Answers

Answer:

it is c I think that it is c good luck


8 x 10*-3
is how many times as great as 4 x 10*-6?
2 x10*3
2 x 10 *9

2 x 10 *-9

2 x 10-*_•-3

Answers

Answer:

[tex]\huge\boxed{2\times10^3}[/tex]

Step-by-step explanation:

[tex](8\times10^{-3})\div(4\times10^{-6})=\dfrac{8\times10^{-3}}{4\times10^{-6}}=\dfrac{8}{4}\times10^{-3-(-6)}=2\times10^{-3+6}=2\times10^3[/tex]

Used:

[tex]\dfrac{a^n}{a^m}=a^{n-m}\ \text{for}\ a\neq0[/tex]

i was doing this task in math and I came across this: x-12x=0.88x . can someone plz explain why is this equal to this? I understand it's simplified, but how?​

Answers

1x-12x=0.88x

1x-12x=0.88x

11x=0.88x

-11x=0.88x-0.88x

-11.88x=0x

-11.88x=0

Isolate x

please help ill mark brainliest​

Answers

Answer:

I think the answer is c now I'm using words to meet the 20 character minimum

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