Factoring Expressions and Gcf

Factor the expression 6x + 12 using the greatest common factor (GCF).

• 6(x - 2)

• 3(x + 4)

• 2(3x + 6)

• 6(x + 2)

Factor Completely:

4x + 28

Factor the expression 15a + 20b using the greatest common factor (GCF).

• 7(2a + 5b)

• 3(5a + 4b)

• 5(3a + 4b)

• 10(3a + 2b)

Determine the GCF of 42 and 56.

• 14

• 10

• 25

• 18

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

Factor by GCF:
4b⁵ + 4b³ + 16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Factor the expression

63x⁴ - 7x² + 28x

• 7x(9x² - 7 + 4x)

• x(63x³ - 7x + 28)

• 7x(9x³ - x + 4)

Factor the expression

6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• Prime

Factor the expression

2n³+16n+12

• 2n(n³+24n+6)

• 2(n³+8n+6)

• 2n(n³+8n+6)

• 3(n³+8n+6)

Factor by GCF:
6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• not factorable