Free Printable IntM2_Factoring_Quadratics

1.

Choose the correct factored form of the given equation. $5x^2-7x-6=0$

a)

$\left(5x+3\right)\left(x-2\right)=0$

b)

$\left(5x+2\right)\left(x-3\right)=0$

c)

$\left(5x+6\right)\left(x-1\right)=0$

d)

$\left(5x-6\right)\left(x+1\right)=0$

2.

Multiply the binomials. $\left(2x+1\right)\left(3x+2\right)$

a)

$6x^2-7x+2$

b)

$6x^2+7x+2$

c)

$6x^2+7x$

d)

$6x^2+2x+3$

3.

Factor the following expression. $x^2-15x+56$

a)

$\left(x+7\right)\left(x-8\right)$

b)

$\left(x-7\right)\left(x+8\right)$

c)

$\left(x+7\right)\left(x+8\right)$

d)

$\left(x-8\right)\left(x-7\right)$

4.

Factor the following expression. $16x^2-25$

a)

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

b)

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

c)

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

d)

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

5.

Which of the following quadratic expressions is NOT factorable?

a)

$x^2+5x+6$

b)

$x^2-3x-18$

c)

$x^2+1$

d)

$x^2+7x+6$

6.

Factor completely. $3x^4+48x^2$

a)

$4x^2\left(3x^2+16\right)$

b)

$3x^2\left(x^2+16\right)$

c)

$16x^2\left(x^2+3\right)$

d)

$x^2\left(x^2+48\right)$

7.

$4x^2-4x-24$ Factor.

a)

$4\left(x+3\right)\left(x+2\right)$

b)

$4\left(x+2\right)\left(x-3\right)$

c)

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

d)

$4\left(x-3\right)\left(x-2\right)$

8.

$x^2+6x+9$ Factor

a)

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

b)

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

c)

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

d)

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

9.

Factor completely.
$y^3-6y+5y$

a)

$\left(y-5\right)\left(y-1\right)$

b)

$y\left(y-5\right)\left(y-1\right)$

c)

$y\left(y+5\right)\left(y+1\right)$

d)

$\left(y+5\right)\left(y+1\right)$

10.

$12x^2-6x-168$

Factor.

a)

$6(x+4)(2x-7)$

b)

$12(x-4)(x+7)$

c)

$12(x-4)(2x+7)$

d)

$6(x-4)(2x+7)$

IntM2_Factoring_Quadratics_4/1-4/20

Total questions: 10

Worksheet time: 5mins

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