Free Printable Factoring - GCF, Diff of Sq, Trinomials (a=1) and (a NOT =1)

1.

Factor using the GCF.

28c-12

a)

4(c-3)

b)

4(7c+12)

c)

4(7c+3)

d)

4(7c-3)

2.

Factor using the GCF.
$x^2y+x$

a)

x(xy+1)

b)

x(xy+x)

c)

x(y+1)

d)

Prime

3.

Factor using the GCF.

$10m^2n+30mn^2+5mn$

a)

$5\left(2m^2n+6mn^2+mn\right)$

b)

$5m\left(2mn+6n^2+n\right)$

c)

$5mn\left(2m+6n+1\right)$

d)

$5n\left(2m^2+6mn+m\right)$

4.

Factor using the GCF.
$72a^5b^3c-32a^3b^2c^2$

a)

$8abc\left(9a^4b^2-4a^2bc\right)$

b)

$8a^3b^2c\left(9a^2b-4c\right)$

c)

$8c\left(9a^5b^3-4a^3b^2c\right)$

d)

$8\left(9a^5b^3c-4a^3b^2c^2\right)$

5.

Factor the difference of squares. *Check for GCF.
$x^2-225$

a)

(x-15)(x-15)

b)

(x+15)(x+15)

c)

(x+15)(x-15)

6.

Factor the difference of squares. *Check for GCF.
$81-4y^2$

a)

(2y+9)(2y-9)

b)

(9+2y)(9-2y)

c)

(9-2y)(9-2y)

7.

Factor the difference of squares. *Check for GCF.
$9k^4-25$

a)

$(3k^2+5)(3k^2-5)$

b)

$(3k^2-5)(3k^2-5)$

c)

$(5+3k^2)(5-3k^2)$

d)

$(5-3k^2)(5-3k^2)$

8.

Factor the difference of squares. *Check for GCF.
$2x^3-200x$

a)

$2\left(x^3-100x\right)$

b)

$2x\left(x^2-100\right)$

c)

$2x\left(x-10\right)\left(x+10\right)$

d)

Prime

9.

Factor the difference of squares. *Check for GCF.
$72y^4-18y^2$

a)

$18y^2\left(4y-1\right)$

b)

$18y^2\left(2y+1\right)\left(2y-1\right)$

c)

Prime

d)

$9y^2\left(8y^2-2\right)$

10.

Factor the difference of squares. *Check for GCF.
$49x^3-xy^2$

a)

Prime

b)

$x\left(49x^2-y^2\right)$

c)

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

d)

$x(7x-y)(7x-y)$

11.

Factor the trinomial. *Check for GCF.
$p^2-13p+30$

a)

$\left(p+10\right)\left(p+3\right)$

b)

$\left(p-10\right)\left(p+3\right)$

c)

$\left(p-3\right)\left(p-10\right)$

d)

Prime

12.

Factor the trinomial. *Check for GCF.
$n^2-8n-65$

a)

$\left(n+5\right)\left(n-13\right)$

b)

$\left(n+5\right)\left(n+13\right)$

c)

$\left(n+5\right)\left(n+13\right)$

d)

Prime

13.

Factor the trinomial. *Check for GCF.
$x^2+6x+9$

a)

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

b)

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

c)

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

d)

Prime

14.

Factor the trinomial. *Check for GCF.
$5w^2-15w-20$

a)

$5\left(w+4\right)\left(w-1\right)$

b)

$5\left(w+1\right)\left(w-4\right)$

c)

$5\left(w+4\right)\left(w+1\right)$

d)

Prime

15.

Factor the trinomial. *Check for GCF.
$2v^2-22v+20$

a)

$2\left(v+10\right)\left(v-1\right)$

b)

$2\left(v-10\right)\left(v+1\right)$

c)

$2\left(v-10\right)\left(v-1\right)$

d)

Prime

16.

Factor the trinomial. *Check for GCF.
$a^3+8a^2-84a$

a)

$a\left(a+14\right)\left(a-6\right)$

b)

$a\left(a+14\right)\left(a+6\right)$

c)

$a\left(a-14\right)\left(a+6\right)$

d)

Prime

17.

Factor completely. *Check for GCF.
$3n^2-15n+18$

a)

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

b)

$3\left(n-3\right)\left(n-2\right)$

c)

$\left(3n-9\right)\left(n-2\right)$

d)

Prime

18.

Factor completely. *Check for GCF.
$15t^2-27t-6$

a)

$3\left(5t-1\right)\left(t+2\right)$

b)

$3\left(5t+1\right)\left(t+2\right)$

c)

$3\left(5t+1\right)\left(t-2\right)$

d)

Prime

19.

Factor completely. *Check for GCF.
$3a^2+4a+1$

a)

$\left(3a-1\right)\left(a+1\right)$

b)

$\left(3a-1\right)\left(a-1\right)$

c)

$\left(3a+1\right)\left(a+1\right)$

d)

Prime

20.

Factor completely. *Check for GCF.
$3x^2-4x-7$

a)

$\left(3x-7\right)\left(x+1\right)$

b)

$\left(3x-7\right)\left(x-1\right)$

c)

$\left(3x+7\right)\left(x+1\right)$

d)

Prime

Factoring - GCF, Diff of Sq, Trinomials (a=1) and (a NOT =1)

Total questions: 20

Worksheet time: 10mins

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