Free Printable Factoring by GCF & Difference of Two Squares

1.

What is ALWAYS the first step in factoring polynomials?

a)

Write the numerical coefficients

b)

Find the Difference of two squares

c)

Look for the Greatest Common Factor (GCF)

2.

Factor completely the given polynomial

25a+25b

a)

$5\left(a+b\right)$

b)

$5\left(5a+5b\right)$

c)

$25\left(a+b\right)$

3.

Factor completely the given polynomial

3x^2+9xy

.

a)

$x\left(3x+9y\right)$

b)

$3x^2\left(1+3y\right)$

c)

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

4.

Type the complete factored form of the polynomial .

2x^2y+12xy

(a)

5.

Factor completely

x^2-4y^2

a)

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

b)

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

c)

$\left(x+2y\right)\left(x+2y\right)$

d)

Prime

6.

Factor completely

36m^2-9

.

(Check for GCF)

a)

$9(4m^2-1)$

b)

$(6m+3)(6m-3)$

c)

$9(2m-1)(2m+1)$

d)

Prime

7.

Factor

x^2+100

completely.

a)

$(x-100)(x+100)$

b)

$(x+50)(x-50)$

c)

$(x+10)(x-10)$

d)

Prime

8.

Factor by rearrangin to use difference of squares

-64 + x²

a)

$(x-8)(x+8)$

b)

$(8-x)(8+x)$

c)

$(x-16)(x+16)$

d)

$(x-32)(x+32)$

9.

Factor completely x²-25.

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

10.

Factor 25x²-81.

a)

(5x-9)²

b)

25(x-9)²

c)

(5x+9)(5x-9)

d)

Prime

Factoring by GCF & Difference of Two Squares

Total questions: 10

Worksheet time: 14mins

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