Factoring DTS, Grouping, GCF, Trinomials A=1

Factor by grouping:
5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n²-3)(n-2)

• (5n³+3)(n-2)

• 10n(n²-6)

What do you call a polynomial that cannot be factored?

• FOIL

• Simplified

• Prime

• Proper

Factor:
80x⁵-70x²-60x⁷

• 2x²(80x³-70-60x⁶)

• 10x²(80x⁴-70x-60x⁶)

• 10x²(8x³-7-6x⁵)

• 3x²(80x³-40-60x⁵)

Factor 18a²b⁴c + 24ab³c²

• 6ab³c(3ab + 4c)

• 3abc(6ab³ + 8b²c)

• 6abc(3ab³ + 4c)

• 6ab3c(3b + 4c)

30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

Factor:
x² + 4xy + 4y²

• (x + y)(4x + 4y)

• (x + 2y)(x + 2y)

• (2x + y)(2x + y)

• (x + 2)(x + 2)

Factor completely.
5x² - 13x + 6

• (x - 3)(5x - 2)

• (5x - 3)(x - 2)

• 5(x - 3)(x + 2)

• Not factorable

Factor
2x² - 13x - 70

• (2x-7)(x+10)

• (7x+5)(x+2)

• (2x+7)(x-10)

• 2(x+7)(x+10)

Factor completely:

3x² + 18x +15

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

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