Factor Linear Expressions and Find GCF

Factor

8m − 24

• can't be factored

• m(8 − 24)

• 4m(2 − 6)

• 4(2m − 6)

Factor

21p + 7

• 7(3p + 1)

• 7(3p + 7)

• can't be factored

• 3(7p + 7)

Factor

54x + 15y − 9

• can't be factored

• 6(9x + 15y + 3)

• 9(6x + 15y)

• 3(18x + 5y − 3)

Factor

12r + 30

• 12(r + 18)

• can't be factored

• 6(2r + 5)

• 5(7r + 13)

Factor the expression 9x + 27 using the GCF.

• 9( x + 3 )

• 9x + 3

• 3(3x + 9)

4x + 6

• 4(x + 2)

• 2(2x + 3)

• 2(2x + 4)

• 4(x + 2/3)

What is the first step when factoring an algebraic expression?

• Add the terms together

• Multiply the terms together

• Find the GCF

• Remove all the variables

Factor:
10x + 15

• 100x + 150

• 10(x + 5)

• 1(10x + 15)

• 5(2x + 3)

• (x - 5)

• (x - 5x)

• (x - 5)

• x²(1 - 5)

Factor completely:

3x² + 18x +15

Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Cannot be factored