Factoring Expressions Using Gcf

Write the sum of the numbers as the product of their GCF and another sum.

9 + 24

• 3(3 + 8)

• 9(1 + 3)

• 33

• 1(9 + 24)

Write the sum of the numbers as the product of their GCF and another sum.

• (44 + 40)

• (22 + 20)

• (11 + 10)

• 84

Write the sum of the numbers as the product of their GCF and another sum.

15 + 81

• 3(5 + 27)

• 1(15 + 81)

• 5(3 +16)

• 96

Write the sum of the numbers as the product of their GCF and another sum.

13 + 52

• 1(13 + 52)

• 65

• 13(1 + 4)

• 2(6 + 26)

Factor the expression 9x + 27 using the GCF.

• 9( x + 3 )

• 9x + 3

• 3(3x + 9)

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

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:
10x² + 15x - 5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

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

6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• Prime