Free Printable Polynomial Review

1.

(3x − 6)(7x + 7)

a)

21x² − 63x + 42

b)

21x² − 21x − 42

c)

21x² − 42

d)

21x² + 63x + 42

2.

9x²- 49y⁶

a)

( 3x + 7y³) (3x + 7y³)

b)

( 3x - 7y³) (3x + 7y³)

c)

( 3x - 7y³) (3x - 7y³)

d)

Unfactorable

3.

Factor the polynomial. Select all that apply: 4x²+4x-15

a)

(4x+5)

b)

(2x-3)

c)

(2x+3)

d)

(2x+5)

e)

(2x-5)

4.

Fully Factor the Following
216x³+125

a)

6(x+5)³

b)

(6x+5)³

c)

(6x+5)(6x²-30x+25)

d)

(6x+5)(36x²-30x+25)

5.

Factor the GCF
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

6.

What are the roots of the equation? $x^3\left(5x\ +4\right)\left(11x-18\right)=0$

a)

0, 4/5, 18/11

b)

0, 5/4, 11/18

c)

0, -4/5, 18/11

d)

-5/4, 18/11

7.

What are the roots of the equation? $3x^3-6x^2-45x=0$

a)

{-3, 0, 5}

b)

{0, 3, 5}

c)

{-5, -3, 0}

d)

{-5, 0, 3}

8.

What number needs to be added to both sides to complete the square? $x^2+18x\ =\ 144$

a)

9

b)

-81

c)

81

d)

12

9.

The solutions of the quadratic equation
x²-5x+6=0 are

a)

x=1 or x=-6

b)

x=3 or x=2

c)

x=-3 or x= 2

d)

x=-1 or x=6

10.

What is the solution of the equation when solved over the complex numbers? $x^2+18\ =\ 0$

a)

$9\sqrt{2},\ -9\sqrt{2}$

b)

$2i\sqrt{3},\ -2i\sqrt{3}$

c)

$9i,\ -9i$

d)

$3i\sqrt{2},\ -3i\sqrt{2}$

11.

Solve for x over the complex number. $x^2+16x\ +\ 40=0$

a)

$8-2\sqrt{6},\ 8+2\sqrt{6}$

b)

$-8-2\sqrt{6},\ -8+2\sqrt{6}$

c)

$-4-\sqrt{6},\ -4\ +\sqrt{6}$

d)

$4-\sqrt{6},\ 4\ +\sqrt{6}$

12.

What is the factored from of the expression over a complex number. $25x^4+16y^2$

a)

$\left(5x^2-4y\right)\left(5x^2+4y\right)$

b)

$\left(5ix^2-4y\right)\left(5ix^2+4y\right)$

c)

$\left(5x^2+4y\right)\left(5x^2+4y\right)$

d)

$\left(5x^2-4iy\right)\left(5x^2+4iy\right)$

Polynomial Review

Total questions: 12

Worksheet time: 3hrs 46mins

Similar Resources on Wayground