Precalculus Factoring and Rational Expressions

Factoring is the opposite of distributing.

• True

• False

**Factor completely.

4x²−16

• (2x−4)(2x+4)

• (4x−4)(4x+4)

• 4(x−2)²

• 4(x−2)(x+2)

**What is the factored form of 5n³−10n²+3n−6 ?

• (5n²+3)(n−2)

• (5n²−3)(n−2)

• (5n³+3)(n−2)

• 10n(n²−6)

** Factor completely.

30x³+15x²−18x−9

• (5x²−3)(6x+1)

• (5x²−3)(6x+3)

• 3(5x²+3)(2x−1)

• 3(5x²−3)(2x+1)

**Factor completely.

3n² −15n +18

• (n −2)(n −3)

• 3(n + 2)(n + 3)

• (3n −9)(n −2)

• 3(n −3)(n −2)

**Factor completely.

2x² + x − 6

• (x + 2) (2x −3)

• (x − 6) (2x + 1)

• (x + 1) (2x − 6)

• (x − 2) (2x + 3)

**Factor completely.

x³+125

• (x+5)(x²−25)

• (x−5)(x²+25)

• (x+5)(x²−5x+25)

• (x−5)(x²+5x+25)

**Factor completely.

x³ −9x

• 9x(1)

• x(x² −9)

• x(x+3)(x−3)

• (x+3)(x−3)

**Factor the following trinomial.

3v² −4v −7

• (3v−7)(v+1)

• 3(v−7)(v−1)

• (3v+1)(v−9)

• (3v+1)(v−10)

**Factor completely.

x⁴ − 16

• (x² + 4)(x² − 4)

• (x² + 4)²

• (x² −4)²

• (x²+4)(x+2)(x−2)