Free Printable Factoring #1 (GCF, a=1, and DOTS)

1.

When factoring we always look for what first?

a)

DOTS

b)

GCF

c)

Factor By Grouping

2.

Factor: (GCF)

56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

3.

Factor:

x² - 9

a)

( x -9) (x - 9)

b)

(x + 3) (x + 3)

c)

(x + 3) (x - 3)

d)

( x + 9) (x-9)

4.

Factor
4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

5.

8r³ + 16r²

a)

4r²(2r + 4)

b)

8r²(r + 2)

c)

8(r³ + r²)

d)

4(r³ + 2r²)

6.

Factor $36m^2-1$

a)

$\left(6m-1\right)\left(6m+1\right)$

b)

$18m-1$

c)

$1\left(36m^2\right)$

d)

$\left(1-6m\right)\left(1+6m\right)$

7.

Factor:

16n² - 25

a)

(16n - 25)(16n + 25)

b)

(8n - 5)(8n + 5)

c)

(4n + 5)(4n - 5)

d)

Not Factorable

8.

Factor

x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

9.

Factor

c²- 3c + 2

a)

(c - 3)(c + 1)

b)

(c + 2)(c + 1)

c)

(c + 3)(c -1)

d)

(c - 1)(c - 2)

10.

Factor
n² + 5n - 6

a)

(n - 2)(n - 3)

b)

(n - 1)(n + 6)

c)

(n + 1)(n - 6)

d)

(n + 2)(n - 3)

11.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

12.

Factor Completely.
$4x^2+24x-64$

a)

$4\left(x+8\right)\left(x-2\right)$

b)

$4(x^2+6x-16)$

c)

$4\left(x^2+24x-16\right)$

d)

$4\left(x-8\right)\left(x+2\right)$

13.

Factor Completely.
$25x^2-100$

a)

$5\left(x+4\right)\left(x-4\right)$

b)

$5\left(x^2-20\right)$

c)

$25\left(x^2-4\right)$

d)

$25\left(x+2\right)\left(x-2\right)$

14.

Factor Completely.
$5x^3-20x$

a)

$x\left(5x^2-20\right)$

b)

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

c)

$5x\left(x+2\right)\left(x-2\right)$

d)

$5x\left(x+4\right)\left(x-4\right)$

15.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

16.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

17.

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

18.

Factor:
x² + 6x + 20

a)

(x + 4)(x + 5)

b)

(x + 20)(x + 1)

c)

(x + 10)(x + 2)

d)

PRIME

19.

Factor
r² -16r + 60

a)

(r - 15)(r + 4)

b)

(r - 6)(r + 10)

c)

(r - 6)(r - 10)

d)

(r +30)(r - 2)

20.

Factor:

k² - 16k + 28

a)

(k + 7)(k + 4)

b)

(k - 2)(k - 14)

c)

(k - 7)(k - 4)

d)

(k - 7)(k + 4)

Factoring #1 (GCF, a=1, and DOTS)

Total questions: 20

Worksheet time: 52mins

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