Factoring Trinomials 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

Identify the factoring technique: 8x^2-14x+3

• Use grouping

• GCF out 24

• Unfactorable

• Factor the trinomial

• Use Sum/Difference of Two Cubes

Identify the factoring technique: 3u^4-39u^2+120

• GCF out a 3u^2 then factor the trinomial

• GCF out a 3 then factor the trinomial like a quadratic

• Unfactorable

• Factor the trinomial

• Use Grouping

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Determine Factoring Type x² + 9x - 36

• By GCF

• trinomial when a=1

• by grouping

• trinomial when a is not 1

Determine Factoring Type x² + 2x – 3

• by GCF

• trinomials when a=1

• grouping

• trinomial when a is NOT 1

Factor:
5x³-7x²

• x²(5x-7)

• x(5x²-7x)

• x³(5-7x)

• Prime