Free Printable A2 Mod 5 Review Polynomial Functions

1.

The graph has (a) real solutions.

2.

How many total solutions, real and imaginary, does the equation x⁴+3x=7x²+2 have?

a)

1

b)

2

c)

3

d)

4

3.

True or False: (x+2) IS a factor for x³+5x+6

a)

True

b)

False

4.

What is the degree of the following polynomial?

y = -(x-3)(x+5)(x+6)

(a)

5.

Which of the following are true about the graph of the polynomial?

y = -(x-3)(x+5)(x+6)

a)

Right side goes down

b)

Right side goes up

c)

Ends in opposite directions

d)

Roots at x = 3, x = -5, and x = -6

e)

Roots at x = -3, x = 5, and x = 6

6.

Use synthetic substitution to find f(-1) if $f\left(x\right)=3x^3+5x^2-x+2$

f(-1) = (a)

7.

Which of the following is a possible equation for the graph shown?

a)

y=

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

b)

y=

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

c)

y=

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

d)

y=

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

8.

During the Super Bowl, a field goal was kicked. The graph is shown. The ball was in the air for__ seconds and hit a max height of __ meters

(a)

9.

Use factoring by grouping to solve the function. Select ALL roots for the function:

$x^3+4x^2-9x-36=0$

a)

x=3

b)

x=4

c)

x=-4

d)

x=-3

e)

x=9

10.

Factor: $8x^3+125$ . Select ALL factors below

a)

(2x-5)

b)

(4x^2-10x+25)

c)

(2x+5)

d)

(2x^2-10x+25)

e)

(4 - 10 + 25)

11.

If x+4 is a factor for $x^3+x^2-22x-40$ , find the remaining factors. Select all that apply.

a)

(x+3)

b)

(x-5)

c)

(x-2)

d)

(x+2)

e)

(x-10)

12.

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

a)

6

b)

7

c)

5

d)

3

13.

What are the roots of the function?

a)

4,1

b)

3,1,-2,-5

c)

-3, -1, 2, 5

d)

-2,4

14.

If the function $7x^5-8x^3+9x-12$ has 4 real roots, how many imaginary roots does it have?

(a)

15.

Find the quotient and select all terms below that are part of the answer:

$\left(24x^7+17x^5-18x^3\right)\div\left(3x^2\right)$

a)

$8x^3$

b)

$\frac{17x^3}{3}$

c)

$-5.66x$

d)

$8x^4$

e)

$-6x$

16.

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

a)

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

b)

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

c)

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

d)

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

17.

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

a)

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

b)

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

c)

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

d)

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

A2 Mod 5 Review Polynomial Functions

Total questions: 17

Worksheet time: 26mins

Similar Resources on Wayground