Free Printable Factoring Polynomials

1.

x⁴ - 4x² - 45

a)

(x² - 5)(x - 3)(x + 3)

b)

(x² + 45)(x + 1)(x - 1)

c)

(x² + 5)(x - 3)(x + 3)

d)

(x² + 3)(x - 5)(x + 3)

2.

x⁴ - 48x² - 49

a)

(x² - 7)(x - 7)(x + 1)

b)

(x²+ 49)(x² + 1)

c)

(x - 7)(x - 7)(x² + 1)

d)

(x + 7)(x - 7)(x² + 1)

3.

Factor completely.

x^2+8x-9

a)

$\left(x+3\right)\left(x-3\right)$

b)

$\left(2x+3\right)\left(x-3\right)$

c)

$\left(x-9\right)\left(x+1\right)$

d)

$\left(x-1\right)\left(x+9\right)$

4.

Factor completely.

2x^2-3x-14

a)

$\left(x+7\right)\left(2x-3\right)$

b)

$\left(2x+2\right)\left(x-7\right)$

c)

$\left(2x-7\right)\left(x+2\right)$

d)

$\left(x-14\right)\left(x+1\right)$

5.

Factor Completely

x^2-49

a)

$\left(x+7\right)\left(x-7\right)$

b)

$7\left(x-7\right)$

c)

$\left(x-7\right)\left(x-7\right)$

d)

$x\left(x-7\right)$

6.

a)

x⁴(x² - 5x - 24)

b)

(x - 8)(x + 3)

c)

x⁴(x - 8)(x + 3)

d)

(x³ - 8)(x³ +3)

7.

FInd all zeros for the polynomial
f(x) = x⁴+8x²-9

a)

-1, ⅓, ±3i

b)

½, -1, ±3i

c)

1, -1, ±i√11

d)

1, -1, ±3i

8.

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

a)

1

b)

2

c)

3

d)

4

9.

Solve x⁴ - 256 = 0

a)

x = 4, x = - 4

b)

x = 4, x = 4i

c)

x = 4, x -4, x = 4i

d)

x = 4, x -4, x = 4i, x = -4i

10.

Solve the following equation. x⁴+4x³ + 3x²= 0

a)

x = 0, x = 3, x = 1

b)

x = -3, x = -1

c)

x = 3, x = 1

d)

x = 0, x = -3, x = -1

11.

How many root/s does the polynomial equation have?

x⁴-3x²+10=0

a)

1

b)

2

c)

3

d)

4

12.

Factor Completely:

k⁴ - 10k² - 39

a)

(k² - 13)(k² + 3)

b)

(k - 13)(k + 3)

c)

(k² + 15)(k² - 3)

d)

(k + 13)(k - 3)

Factoring Polynomials

Total questions: 12

Worksheet time: 25mins

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