Write an eighth-degree polynomial in factored form that is decreasing at both ends , has a single root at -2, a double root at 3 and 0 and triple root at -1

Answers

Answer 1

Answer:

Step-by-step explanation:

y = -1(x + 2)(x - 3)(x - 3)(x + 0)(x + 0)(x + 1)(x + 1)(x + 1)

Answer 2

The 8 degree polynomial for the given roots can be written as  p(x) =  x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².

What is factor theorem?

The factor theorem states that for a polynomial p(x) if there exists a real number a such that p(a) = 0, then (x - a) is one of the factors of p(x).

The roots of the polynomial are given as follows,

Number of roots at -2 = 1

Number of roots at 3 = 2

Number of roots at 0 = 2

And, number of roots at -1 = 3.

Now, the polynomial can be written using factor theorem as,

p(x) = x²(x + 2)(x - 3)²(x + 1)³

      = x²(x + 2)(x²- 6x + 9)(x³ + 3x² + 3x + 1)

      = x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x²

Hence, the polynomial for given roots can be written as p(x) =  x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².

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Related Questions

Which point represents the outlier

Answers

Answer:An outlier is any data point that falls above the 3rd quartile and below the first quartile. The inter-quartile range is and . The lower bound would be and the upper bound would be . The only possible answer outside of this range is .

Step-by-step explanation:

Answer: Select the correct answer.

Which point represents the outlier?

(3, 13)

Step-by-step explanation:

A. (2, 3)

B. (4, 5)

C. (3, 13)

D. (8, 9)

Giving 100 points for this and Brainliest!!

Well I ask this question for 100 points: I don't know how much it will give you

Please give me an explanation, no link please:

Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?

Answers

Answer: Sarah found 10 shark teeth(3 + 7 = 10).

John found 5 shark teeth(10/2 = 5).

The total money they earned was $5 x 15 = $75.

Explanation;

Given that:

$5 per shark tooth15 total collected shark teeth

5 x 15 = 75, therefore the total money Sarah and John earned was $75.

The few sentences to end Sarah's story are: Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.

Answer:

Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.

Part 1: Writing Expressions

Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

25(10j + 18 + 5j)

Step-by-step explanation:

Triangle A'B'C' is a reflection of triangle ABC across line BC. Prove that ray BC is the angle bisector of angle ABA'.​

Answers

Answer is below in the picture:-

(From the problem, we know (triangle)ABC (round of equal of) (triangle)A'B'C'. So, <A'B'C' = <ABC {the properties of congruent triangles}. So, ray BC is the angle, bisector of angle ABA')

I hope it helps.

It is proved that the ray BC is the angle bisector of angle ABA'.

What are angle bisectors?

Angle bisectors are lines who bisect the considered angle. Bisect refers to splitting in two equal parts. Therefore, the bisected parts of the considered angle are half of the original angle.

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if it in a mirror.

We will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

From the given problem, we know Triangle A'B'C' is a reflection of triangle ABC across line BC.

Therefore, <A'B'C' = <ABC

By the properties of congruent triangles. Means if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Hence, the ray BC is the angle, bisector of angle ABA'.

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3x+1


If your kinda a math nerd you will understand this one

Answers

Answer:

If you equal it to zero (3x+1=0) it will be x= 1/3

Step-by-step explanation:

Subract the 1 over to the 0 then divide the 3 over.

What is the probability of rolling a 4 on a number cube and pulling a red marble out of a bag that contain 3 red, 2 black, and yellow marbles?​

Answers

Answer:

1/12

Step-by-step explanation:

rolling 4 on a cube= 1outcome/6 total=1/6

pulling red marble= 3 possible red marble/6 total marbles=1/2

1/6*1/2=1/12

40 pts! PLEASE HELP FAST WILL MARK BRAINLIEST
Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5x).
X
f(x) = 2.5x – 10.5
g(x) = 64(0.5x)
2
3
4
5

Answers

Answer:

f(2) = 2.5×2-10.5

=5-10.5

=-5.5

g(2) = 64(0.5×2)

= 64×1

=64

f(3)=2.5×3-10.5

=7.5-10.5

=-3

g(3)=64(0.5×3)

=64×1.5

=96

f(4)=2.5×4-10.5

=10-10.5

=-500

g(4)=64(0.5×4)

=64×2

=128

f(5)=2.5×5-10.5

=12.5-10.5

=2

g(5)=64(0.5×5)

=64×2.5

=150

I think it is the processs It will help you

4781/32 without a decimal

Answers

Answer:

149(13/32)

Step-by-step explanation:

4781/32 and then take the remainder to make it an improper fraction


helpp ☹️☹️ plsplspsospsl

Answers

Answer:

BRO BRING THE PHONE CLOSER TO THE SCREEN WE CANT SEE ANYTING

Step-by-step explanation:

help plzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

ang hirap naman plss answee

A child's height increased from 21 to 32 inches. What was the percent increase in the child's height

Answers

Answer:

52.4

Step-by-step explanation:

% change = 100 x final initial/initial

Expressions equivalent to 8 to the negative 2 power times 3 to the negative 2 power

Answers

Answer:

0.0007361111111111111+0.001;

0.0027361111111111111-0.001;

1.0017361111111111111-1;

Step-by-step explanation:

you calculate 8^(-2)*3^(-2) that gives you 0.0017361111111111111 and then you add 1 anywhere you want and then say -1 where you put that +1 and that's all

Which is an equation of the line through (0,0) and (-3,-7)?

O A. y=-7x

O B. y= 2

O C. y = 2

O D. y=-3x

Answers

Answer:

y=7/3x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-0)/(-3-0)

m=-7/-3

m=7/3

y-y1=m(x-x1)

y-0=7/3(x-0)

y=7/3(x)

y=7/3x

Equation of the line through (0,0) and (-3,-7) is y=7/3x

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the equation of the line through (0,0) and (-3,-7)

m=-7/-3=7/3

Now let us find the y intercept

-7=7/3(-3)+b

b=0

So the equation is y=7/3x

Hence, equation of the line through (0,0) and (-3,-7) is y=7/3x

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3* what =1 because I'm genuinely unsure

Answers

Answer:

0.3 recurring so 0.33333333333333333333333333333333333333

and....

__________________________________________________________

How to Overcome Insecurity

Step 1

The first step of Voice Therapy involves vocalizing your self-critical thoughts in the second person.You can also write down these thoughts.

Step 2

In the second step, you can start to think and talk about the insights and reactions you have to exposing these mean thoughts.

Step 3

People often struggle with the third step of this process, because it involves standing up to long-held beliefs and insecurities about oneself. You will answer back to your voice attacks, expressing your real point of view.

Step 4

In step five of Voice Therapy, you start to make a connection between how the voice attacks are influencing your present-day behaviors.

Step 5

The final step involves making a plan to change these behaviors. If insecurity is keeping you from asking someone on a date or going after a promotion, it’s time to do the actions anyway. If you’re indulging in self-hating thoughts that encourage you to engage in self-destructive behaviors, it’s time to interrupt these behaviors and unleash the real you.

Hope it help and if it did please give brainliest

Stay safe and healthy

Thank You

Un rectángulo tiene un perímetro de 64 pulgadas y una longitud de22 pulgadas . ¿Qué ecuación puedes resolver para encontrar el ancho?

Answers

Answer:

[(P - (2 x l)] / 2

Step-by-step explanation:

[Perimeter - ( 2 x length) ] / 2

(64 - 2x22)/2 = 10 pulgadas de ancho

Tyrone works in a grocery store and he puts boxes on shelves. There are 4 shelves in the cereal section of the store. All shelves hold the same number of boxes of cereal. If there are 80 boxes of cereal on the shelves, how many boxes are on each shelf? In complete sentence

Answers

Answer:

Each shelf can hold 20 boxes of cereal.

Step-by-step explanation:

Start with 80 boxes of cereal: (80)

There are 4 shelves for each box of cereal: (x/4)

Thus, we get the expression: 80/4=

(You may want to simplify this; giving you the answer of 20.)

Which function has a greater rate of change?

Answers

Answer:

Function A

Step-by-step explanation:

In function A as x increases by 1, y increases by 5.

In function B there is a slope of -4.5 which means as x increases by 1, y increases by -4.5.

Rate of change of 5 is greater than a rate of change of -4.5.

Trigonometry I need help please

Answers

Answer:

10.7°

Step-by-step explanation:

SOH CAH TOA

Tan(BCA) = x/y

= 4/21

BCA= Tan`¹(4/21)

= 10.7856

to 3SF = 10.7°

5 x (3+H) = 15+45. What is H?

Answers

Answer:

9

Step-by-step explanation:

5 x 3 = 15  and 5 x H = 45

45 / 5 = 9

what is the point slope equation of the line that has a slope of 1/8 and goes through the point (2,-3)

Answers

Answer:

Step-by-step explanation:

(y + 3) = (1/8)(x - 2)

-1083 +(-3974) what is ans

Answers

Answer: -5057 if im wrong let me know

Answer:

-5057

Step-by-step explanation:

Simplify the expression:

-1083 + 3974

-1083 - 3974

-5057

what does it mean to square a value/ expression

Answers

Squaring a number means multiplying the same number by itself.

For example,

[tex]\\2 \cdot 2 =2^2\\\\a\cdot a =a^2~~ \\\\ (a+1)(a+1) =(a+1)^2 \\\\ (x^{10}+1)(x^{10}+1) =(x^{10}+1)^2[/tex]

Of the 600 sixth graders at Melville Middle school, 80% want more field trips. How

Many students want more field trips?

Answers

Multiply total students by the percentage:

600 x 80% = 600 x 0.80 = 480

480 students want more field trips.

Answer is 480 (600*0.8)

(1) Mr. Jones finished correcting 6 out of 7 homework assignments. Miss Smith finished
correcting 83% of that week's homework assignments. Which teacher corrected a greater
percentage of her homework assignments?

Answers

Answer:

Mr. jones

Step-by-step explanation:

6/7 is 85.71% which is greater than 83%.

The front lawn of NPHS has a roped off area of 2x^2 - 11x + 15. What are the
possible dimensions of the roped off area?

Answers

Answer:

[tex]x-3[/tex] by [tex]2x-5[/tex] units

Step-by-step explanation:

Use the slide-and-divide method to factor the polynomial:

[tex]2x^2-11x+15[/tex]

[tex]x^2-11x+30[/tex]

[tex](x-6)(x-5)[/tex]

[tex](x-3)(2x-5)[/tex]

Therefore, the dimensions are [tex]x-3[/tex] by [tex]2x-5[/tex] units

Approximately what portion of the box is shaded blue?

Answers

Answer:

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

Answer: 1/2

SOMEBODY HELP NO LINKS PLZ AND THANK YOU


given the table below which function shos an exponential function


table

x f(x) g(x) h(x)
1 64 65 5

2 32 54 7

3 16 43 10

4 8 32 14


A f(x)

B g(x)

C h (x)

D none of the above

Answers

f(x) is showing the exponential function 2^(7-x)

Ron wants to make money painting portraits of people at the local mall. The mall
charges Ron $22.00 a day for Ron to set up his materials to sell his portraits. He
charges $15.50 a portrait, but it costs him $3.25 in materials to make that portrait.
How much profit will Ron make from each portrait he paints (not including the daily
fee that the mall charges him)?
$12.00
$12.25
$12.50
$13.00

Answers

Answer:

$12.25

Step-by-step explanation:

$12.25

280 is 72% of what number?

Answers

Answer:

389

Step-by-step explanation:

MARK BRAINLIEST PLEASE

LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answers:

[tex]I(-2,-1) \to I \ ' \ (-5,-2.5)\\\\J(-1,2) \to J \ ' \ (-2.5,5)\\\\K(2,-1) \to K \ ' \ (5,-2.5)\\\\[/tex]

===============================================

Explanation:

Since the center of dilation is the origin, we multiply each preimage coordinate by 2.5 (which is the scale factor).

For example, the preimage point J(-1, 2) moves to J ' (-2.5, 5)

-1*2.5 = -2.52*2.5 = 5

This will cause the image triangle I'J'K' to be larger than the preimage IJK. Specifically, each side of the image is 2.5 times longer compared to the preimage.

Answer:

i' (-5, -2.5) J' (-2.5, 5) K' (5, -2.5)

Step-by-step explanation:

you just take the original coordinates and multiply them by 2.5

Find the area of the figure. (Sides meet at right angles.)

Answers

Answer:

51

Step-by-step explanation:

if there isn't such an answer tell me so that I can try again.goodbye

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