Precalculus Factoring and Rational Expressions

Factoring is the opposite of distributing.

• True

• False

Factor: 
17xy - x

• 17(xy - x)

• y(17x - x)

• x(17y - 1)

• Can't be factored

Factor completely: -3 + 6x

• -3 (1 + 2x)

• -2 + -1 + 6 + x

• 6( -2 + x )

• 3 ( 1 + 2x)

Factor Completely:
24+16q

• 4(7+4q)

• 8(3+2q)

• 4(6q+2)

• 24(24-16q)

12x + 9

• 3(4x + 3)

• x(12+9)

• 3(4x - 3)

• not factorable

Factor 5x + 20

• 5(x + 4)

• x(4+5)

• 5(4x + 1)

• not factorable

Factor:
8x+40

• 2(4+10x)

• 8(x+5)

• 8(2x+5)

• 2x(x+5)

Factor  4x + 30y.

• 2(x + 15y)

• 4(x + 15y)

• 2(2x + 15y)

• cannot be factored

Factor:
14x + 20

• 2(7x + 10)

• 4(2x + 5)

-6z + 42

• 6(-z + 7)

• -6(z - 7)

• Cannot Be Factored

• -3(2z + 14)