Quiz about Polynomial Functions

Question 1

Find the values of the zeros of the function y=(x+2)(x-3)(3x-5)

Accepted Answer

x=-2, x=3, x=5/3

Answer

x=2, x=-3, x= -5/3

Answer

x=-2, x=3, x=3/5

Answer

x=2, x=-3, x=-3/5

Question 2

What are the zeros of the function?

Accepted Answer

-3, -1, 2, 5

Answer

4, 1

Answer

-3, -1, 30, 2, 5

Answer

3, 1, -2, -5

Question 3

What are the roots of the function $$y=\left(x+2\right)\left(x-7\right)^3$$

Accepted Answer

-2, 7 mulitplicity 3

Answer

2, 7 multiplicity 3

Answer

-2, -7 mulitplicity 3

Answer

2, -7 multiplicity 3

Question 4

State the zeros of the polynomial function $$f\left(x\right)=x\left(x+3\right)^2\left(x-2\right)$$

Accepted Answer

0, 2, -3 multiplicity 2

Answer

0, 2, -3

Answer

2, -3 mulitiplicity 2

Answer

0, -2, 3 multiplicity 2

Question 5

How many zeros does the polynomial function $$f\left(x\right)=3x^4+4x^{2\ }+8$$ have?

Accepted Answer

4

Answer

2

Answer

3

Answer

6

Question 6

Write the polynomial in standard form given the zeros, x=0, -2, 1

Accepted Answer

$$y=x^{3\ }+x^2-2x$$

Answer

$$y=x^{2\ }+x-2$$

Answer

$$y=x^4+x^3-2x^2$$

Answer

$$y=x^{3\ }-x^2-2x$$

Question 7

Write the factored form of the polynomial with roots x=-2. x=5, x=2/3

Accepted Answer

y=(x+2)(x-5)(3x-2)

Answer

y=(x-2)(x+5)(3x+2)

Answer

y=(x-2)(x+5)(2x+3)

Answer

y=(x+2)(x-5)(2x-3)

Question 8

Which of the following is the correct equation for the function graphed?

Accepted Answer

$$f\left(x\right)=\left(x-1\right)^{2\ }\left(x+2\right)^{2\ }$$

Answer

$$f\left(x\right)=\left(x+1\right)^2\left(x-2\right)^{2\ }$$

Answer

$$f\left(x\right)=\left(x-1\right)\left(x+2\right)$$

Answer

$$f\left(x\right)=\left(x+1\right)\left(x-2\right)$$

Question 9

What is the equation in factored form of the function graphed?

Accepted Answer

$$f\left(x\right)=\left(x+4\right)\left(x+1\right)^{2\ }\left(x-2\right)\left(x-4\right)$$

Answer

$$f\left(x\right)=-\left(x+4\right)\left(x+1\right)^2\left(x-2\right)\left(x-4\right)$$

Answer

$$f\left(x\right)=-\left(x-4\right)\left(x-1\right)^2\left(x+2\right)\left(x+4\right)$$

Answer

$$f\left(x\right)=\left(x-4\right)\left(x-1\right)^{2\ }\left(x=2\right)\left(x+4\right)$$

Question 10

Which is a possible equation in factored form of the function in the graph?

Accepted Answer

$$y=-\left(x+1\right)^2\left(x-2\right)$$

Answer

$$y=\left(x+2\right)\left(x-1\right)^2$$

Answer

$$y=\left(x-2\right)\left(x+4\right)\left(x+1\right)^2$$

Answer

$$y=-\left(x+2\right)\left(x-1\right)^2$$

Question 11

How does a factor with multiplicity of 2 affect the graph of a polynomial function?

Accepted Answer

Touch and Turn

Answer

Straight Through

Answer

"Snake" Through

Answer

Touch, Flatten, and Turn

Question 12

What is the degree of the polynomial? $$f\left(x\right)=-2x\left(x+3\right)^2\left(x-7\right)\left(x+5\right)^3$$

Accepted Answer

7

Answer

6

Answer

5

Answer

3

Question 13

What is the degree of the polynomial? $$y=-4x^5+3x^2-8x+1$$

Accepted Answer

5

Answer

8

Answer

4

Answer

7

Question 14

What is the degree of the function graphed?

Accepted Answer

3

Answer

5

Answer

1

Answer

2

Question 15

What is the degree of the function graphed?

Accepted Answer

5

Answer

3

Answer

7

Answer

6

Question 16

What is the degree of the function graphed?

Accepted Answer

6

Answer

2

Answer

4

Answer

8

Polynomial Functions

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