Quiz about Unit 3 Polynomial Functions Test Review No Calculator

Question 1

The graph of g(x) is the image of f(x)=x² after the given transformations.

1. A reflection over the x-axis
2. A vertical translation of 4 units up
3. A horizontal translation of 3 units to the right
Which equation represents g(x)?

Accepted Answer

g(x)= -(x-3)²+4

Answer

g(x)= -(x+3)²-4

Answer

g(x)= (x-3)²+4

Answer

g(x)= (x+3)²-4

Question 2

If (x+7) is a factor of h(x), what is h(-7)?

Accepted Answer

0

Answer

-7

Answer

1

Answer

7

Question 3

Which binomials are factors of the given polynomial?

x³-2x²-x+2

Select the three that apply.

Accepted Answer

(x-2)

Accepted Answer

(x-1)

Accepted Answer

(x+1)

Answer

(x+2)

Answer

(x+3)

Question 4

Function f(x) is shown.

f(x)=(x²-49)(x²+6x+9)

What are the zeros of the function f(x)?

Accepted Answer

-7, -3, 7

Answer

3, 7

Answer

-3, 3, 7

Answer

-7, -3, 3, 7

Question 5

Is (x+2) a factor of h(x)=x³-x²-x-2?

Accepted Answer

No, because h(-2)=-12.

Answer

Yes, because h(-2)=-12.

Answer

No, because h(2)=0.

Answer

Yes, because h(2)=0.

Question 6

Which function is graphed above?

Accepted Answer

y= 1/2(x+1)(x-2)(x-5)

Answer

y= -(x+1)(x-2)(x-5)

Answer

y= -(x-1)(x+2)(x+5)

Answer

y= 1/2(x-1)(x+2)(x-5)

Question 7

If possible, factor the polynomial as a difference of squares.

$$9x^2-16$$

Accepted Answer

(3x+4)(3x-4)

Answer

(3x+4)(3x+4)

Answer

(3x-4)(3x-4)

Answer

It cannot be factored.

Question 8

Which of these graphs has roots of -2 and 2 and a minimum of -4?

Accepted Answer

Question 9

What are the zeros of the function $$f\left(x\right)=x^2+4x-12$$ ?

Accepted Answer

{-6,2}

Answer

{-2,6}

Answer

{2,6}

Answer

{-6,-2}

Question 10

Where does the following function decrease?

Accepted Answer

-1 < x < 1

Answer

-1 < x < 0

Answer

1 < x

Answer

-1 > x

Question 11

Where does the function increase?

Accepted Answer

x < 0 and x > 2

Answer

x > 0 and x < 2

Answer

0 < x < 2

Answer

2 > x > 0

Question 12

Which expression is equivalent to $$f\left(x\right)=6x^2+27x-15$$ ?

Make sure the expression is factored completely.

Accepted Answer

3(2x-1)(x+5)

Answer

(6x-3)(x+5)

Answer

(6x+3)(x-5)

Answer

3(2x+1)(x-5)

Question 13

Question 13.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 14

What is the equation in factored form of this graph?

Accepted Answer

f(x) = (x+4)(x+1)²(x-2)(x-4)

Answer

f(x) = (x-4)(x-1)²(x+2)(x+4)

Answer

f(x) = (x-4)(x+1)²(x+2)(x+4)

Answer

f(x) = (x-4)(x-1)²(x-2)(x+4)

Question 15

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

Accepted Answer

f(x) = (x+4)(x+1)²(x-2)(x-4)

Answer

f(x) = (x-4)(x-1)²(x+2)(x+4)

Answer

f(x) = (x-4)(x+1)²(x+2)(x+4)

Answer

f(x) = (x-4)(x-1)²(x-2)(x+4)

Question 16

f(x) = (x+2)(x-3)²(x-4)

Which choice best describes the zeros?

Accepted Answer

-2, 3 (multiplicity 2), 4

Answer

-2 (multiplicity 2), 3, 4

Answer

2, -3 (multiplicity 2), -4

Answer

2 (multiplicity 2), -3, -4

Question 17

Which equation represents f(x)?

Accepted Answer

f(x) = (x + 1)(x - 2)

Answer

f(x) = (x + 1)(x - 2)(x + 2)

Answer

f(x) = (x + 1)(x - 2)(x + 2)(x - 0)

Answer

f(x) = (x - 1)(x + 2)

Question 18

As the value of x increases, the value of g(x) decreases. As the value of x decreases, the value of g(x) increases. Select the function with the end behavior described above.

Accepted Answer

$$-3x^3+2x^2+x-1$$

Answer

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

Answer

$$5x^5-7x+3$$

Answer

$$-6x^4+2x^3-9x^2+14$$

Unit 3 Polynomial Functions Test Review No Calculator

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics