Free Printable Factoring Polynomials

1.

Factor

n² + 16n + 63

a)

(n-3)(n-10)

b)

(n+7)(n-9)

c)

(n+7)(n+9)

d)

(n-7)(n+4)

2.

Factor

x²+ 9x - 36

(a)

3.

Factor

3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

4.

Factor

x² +17x - 60

a)

(x - 20)(x + 3)

b)

(x + 12)(x - 5)

c)

(x - 12)(x + 5)

d)

(x + 20)(x - 3)

5.

Factor

a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 4)(a - 3)

c)

(a + 6)(a - 4)

d)

(a - 6)(a + 4)

6.

What is a method of checking your work when factoring?

a)

asking the teacher every time

b)

division

c)

foil

d)

assume you're correct

7.

Factor completely:

3x² + 18x +15

what is the first step of factoring

a)

3(x²+6x+5)

b)

3(x+5)(x+1)

c)

(x+5)(x+1)

d)

Prime

8.

Solve the following:

2x²=98

a)

49, -49

b)

9.89, -9.89

c)

7, -7

d)

$-\sqrt[]{196},\ +\sqrt[]{196}$

9.

Solve using square roots

5b²-4=41

a)

9, -9

b)

8, -8

c)

3, -3

d)

5, -5

10.

solve by taking the square root

2(x-3)²-14=18

a)

1, 7

b)

-1, -7

c)

-1, 7

d)

1, -7

11.

What do you do to the b value to correctly complete the square?

a)

square it

b)

divide it by 2 and take the square root

c)

divide it by two and square it

d)

divide it by two

12.

When factoring

x² - 4x + 4 = 20

,what goes in the blank?

(x - __ )² = 20

a)

4

b)

8

c)

20

d)

2

13.

What value of c would make this a perfect sqaure trinomial?

x² +8x + c

a)

4

b)

64

c)

16

d)

-16

14.

Solve by completing the square.

x²-8x-20=0

a)

x=-2, 10

b)

x=-10, 2

c)

x=-20, -8

d)

x=8, 20

15.

Solve by completing the square.

x²-14x-15=0

a)

x=1, 15

b)

x=-15, -1

c)

x=15,1

d)

x=-1, 15

16.

What are the solutions to 2(x−7)²= 32 ?

a)

$7\pm\sqrt[]{32}$

b)

$\pm\sqrt[]{65}$

c)

$3\ and\ 11$

d)

$-1\ and\ 15$

17.

Solve for x:

(x+6)²=49

a)

$7,\ 12$

b)

$\pm7$

c)

$1,\ -13$

d)

43, 55

Factoring Polynomials

Total questions: 17

Worksheet time: 34mins

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