Factor Out GCF and Grouping

Identify the factoring technique:n^3+7n^2+10n

• GCF out an n and then factor the trinomial

• GCF out an n and then use difference of two squares

• Use Grouping

• Use Sum/Difference of Two Cubes

Identify the factoring technique: 10n^3-59n^2-6n

• GCF out an n and then factor the trinomial

• GCF out an n and then use difference of two squares

• Use Grouping

• Use Sum/Difference of Two Cubes

Identify the factoring technique:96n^3+120n^2-84n-105

• GCF out 3 and then factor the trinomial

• GCF out 3 and then factor then factor by grouping

• GCF out an n and then factor by grouping

• Factor by grouping

• Use Sum/Difference of Two Cubes

Identify the factoring technique: 32n^3+56n^2+12n+21

• Use long division

• Use grouping

• GCF out 3 then use grouping

• Use difference of two squares

• Use Sum/Difference of Two Cubes

Factor by GCF and Grouping 30x³ + 15x² - 18x - 9

• (5x² - 3)(6x + 1)

• (5x² - 3)(6x + 3)

• 3(5x² + 3)(2x - 1)

• 3(5x² - 3)(2x + 1)

Factor Completely: 3m⁴ + 6m³ + 48m² + 96m
**Hint: Factor by GCF THEN grouping

• 3m(m² + 16)(m + 2)

• 3m(m² − 16)(m − 2)

• 3m(m + 4)(m − 4)(m + 2)

• 3m(m + 4)(m − 4)(m − 2)

Factor Completely:

8x⁴ + 2x³ − 16x² − 4x

**Hint:

Factor by GCF THEN grouping

• 2x²(4x + 1)(x − 2)

• 2x(4x + 1)(x² − 2)

• 2x(x + 1)(x − 1)

• 2(x² − 2)(4x − 1)

Factor Completely: 3m⁴ + 6m³ + 48m² + 96m
**Hint: Factor by GCF THEN grouping

• 3m(m² + 16)(m + 2)

• 3m(m² − 16)(m − 2)

• 3m(m + 4)(m − 4)(m + 2)

• 3m(m + 4)(m − 4)(m − 2)

Factor (GCF)
10x² + 15x - 5

• 25 (10x³ + 45x -15)

• 5 (2x³ + 3x² - x)

• x (10x³ + 15x - 5)

• 5 (2x² + 3x - 1)

Factor: 30x²+15x + 18x + 9

• (5x² - 3)(6x + 1)

• (5x + 9)(2x + 1)

• 3(5x²+3)(2x-1)

• (15x + 9)(2x + 1)