Free Printable Quadratics: Difference of squares

1.

The rectangle below has an area of $x^2-9$ square meters and a width of $x-3$ meters.

What expression represents the length of the rectangle?

a)

(-x + 3)

b)

(x + 3)

c)

(-x - 3)

d)

(x - 3)

2.

Factor as the product of two binomials.

$x^2-64$

a)

(-x + 8)(x + 8)

b)

(x + 8)(x + 8)

c)

(x - 8)(x + 8)

d)

(x - 8)(x - 8)

e)

(x - 8)(-x - 8)

3.

The rectangle below has an area of $x^2-144$ square meters and a width of $x+12$ meters.

What expression represents the length of the rectangle?

a)

(x - 12)

b)

(x + 12)

c)

(-x + 12)

d)

(-x - 12)

4.

Factor as the product of two binomials.

$x^2-4$

a)

(-x - 2)(x + 2)

b)

(x + 2)(x + 2)

c)

(x - 2)(x - 2)

d)

(x - 2)(x + 2)

5.

Does $x^2+49$ factor into $\left(x+7\right)\left(x-7\right)$ ?

a)

True

b)

False

6.

Factor completely.

$2x^2-50=$

a)

2(-x - 5)(x + 5)

b)

2(x - 5)(x - 5)

c)

2(x + 5)(x + 5)

d)

2(x - 5)(x + 5)

e)

-2(x - 5)(x + 5)

7.

Factor completely.

$49x^2-9=$

a)

(7x + 3)(7x - 3)

b)

(7x - 3)(7x - 3)

c)

(7x + 3)(-7x - 3)

d)

(7x + 3)(7x + 3)

8.

Factor completely.

$108-3x^2=$

a)

-3(6 - x)(6 - x)

b)

3(6 + x)(6 - x)

c)

-3(6 + x)(6 - x)

d)

3(6 - x)(6 - x)

9.

Factor completely.

$4x^2-1=$

a)

-(2x + 1)(2x - 1)

b)

(2x + 1)(2x + 1)

c)

(2x + 1)(2x - 1)

d)

(2x - 1)(2x - 1)

10.

Does $9x^2-81$ factor out completely into $\left(3x+9\right)\left(3x-9\right)$

a)

True

b)

False

Quadratics: Difference of squares

Total questions: 10

Worksheet time: 8mins

Similar Resources on Wayground