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3 years ago

What is a cubic polynomial function with zeros 3,3 and -3? show your work.

Mathematics

1 answer:

Brums [2.3K]3 years ago

4 0

Answer:

Cubic polynomial function with zeros 3,3 and -3 is $\mathbf{x^3-3x^2-9x+27=0}$

Step-by-step explanation:

We need to find a cubic polynomial function with zeros 3,3 and -3.

If zeros of polynomial are: 3,3,and -3

we can write:

x=3, x=3, x=-3

We can write:

x-3=0, x-3=0, x+3=0

Now, we can write them as:

(x-3)(x-3)(x+3)=0

Multiplying the terms, we can find the polynomial:

$(x-3)(x-3)(x+3)=0\\(x(x-3)-3(x-3))(x+3)=0\\(x^2-3x-3x+9)(x+3)=0\\(x^2-6x+9)(x+3)=0\\x(x^2-6x+9)+3(x^2-6x+9)=0\\x^3-6x^2+9x+3x^2-18x+27=0\\x^3-6x^2+3x^2+9x-18x+27=0\\x^3-3x^2-9x+27=0$

So, cubic polynomial function with zeros 3,3 and -3 is $\mathbf{x^3-3x^2-9x+27=0}$

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Lee Middle School orders 15 textbooks for every 12 students. The table shows how many textbooks the school orders for certain nu

Mariulka [41]

Answer: 90 textbooks

Step-by-step explanation:

everytime you multiply the number of students you multiply the books by the same number. to find how many times 72 was multiplied you divide it by 12.

72 ÷ 12 = 6

then multiply the original number of books (15) by 6.

15 * 6 = 90

so for every 72 students the school orders 90 textbooks

5 0

3 years ago

A clothing store put a sales price of $48 on a purse. Before the markup, the store paid $40 for the purse. What percent markup d

Nimfa-mama [501]

Answer:

20% mark up

Step-by-step explanation:

[(48-40)/40]×100%= 20%

8 0

3 years ago

10 points <br> Can someone please do number 4

Andrei [34K]

This question wants to know the domain. For example: (2,4) 2 is the domain and 4 is the range.

Then, they want you to solve by finding X the range when x =-1

x-4/x^2+5x-36

Put -1 everytime you see x

-1-4/-1^2+5(-1)-36

-5/1+(-6)-36

-5/-41 This is the range.

3 0

3 years ago

20.) A=49.23 degrees, c=54.8Solve the right triangle. Express angles in decimal degrees.

vivado [14]

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

Explanation

Step 1

a) let

$\begin{gathered} A=49.23\text{ \degree} \\ c=54.8\text{ \degree} \end{gathered}$

b) b value

to find the measure of side b we can use cosine function

$\begin{gathered} cos\theta=\frac{adjacent\text{ side}}{hypotenuse} \\ replace \\ cos\text{ 49.23=}\frac{b}{54.8} \\ b=54.8*cos49.23 \\ b=35.78 \end{gathered}$

c) angle B

to find the measure of Angle B we can use sine function

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ replace \\ sin\text{ B=}\frac{35.78}{54.8} \\ sin\text{ B= 0.65}\Rightarrow inverse\text{ function to isolate B} \\ B=\sin^{-1}(0.65) \\ B=40.76 \end{gathered}$

d) side a

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ sin\text{ A=}\frac{a}{c}=\frac{\placeholder{⬚}}{\placeholder{⬚}} \\ sin\text{ 49.23=}\frac{a}{54.8} \\ multiply\text{ both sides by 54.8} \\ 54.8s\imaginaryI n\text{49.23=}\frac{a}{54.8}*54.8 \\ 41.50=a \end{gathered}$

so, the answer is

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

I hope this helps you

7 0

1 year ago

Se dau n numere întregi. Calculaţi cel mai mic dintre cele n numere date.

sveticcg [70]

Kefjnrlfknrelfknreflkrnfkrnfle

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3 years ago

What is a cubic polynomial function with zeros 3,3 and -3? show your work.​

What is a cubic polynomial function with zeros 3,3 and -3? show your work.