Factoring Polynomials Using Grouping

Factor completely:
2x³ + 5x² - 8x - 20

• (x² - 4)(2x + 5)

• (2x - 5)(x² + 4)

• (2x² - 4)(x + 5)

• (x - 2)(x + 2)(2x + 5)

Factor Completely:
3x⁴ + 3x³ - 12x² - 12x

• 3x(x³ + x²- 4x - 4)

• 3x(x²-4)(x+1)

• 3x(x+2)(x-2)(x+1)

• 3x(x²+4)(x-1)

Factor Completely

5x²-28x+32

• (3x-10)(x+6)

• (x-8)(5x-4)

• (5x-8)(x-4)

• (5x-8)(x+7)

When using factor by grouping, how many terms must we have?

• Four or more

• Two

• Three

• Doesn't matter

Factor Completely:

2n³ + 7n² - 2n - 7

• cannot be factored

• (n - 1)²(2n + 7)

• (n² - 1)(2n + 7)

• (n + 1)(n - 1)(2n + 7)

Factor completely:
x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

7r³-8r²+42r-48

• (r²+6)(7r+8)

• (r²+6)(7r-8)

• (r²+6)(r²+8)

• (r²+6)(7r+6)

Factor by grouping:
5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n²-3)(n-2)

• (5n³+3)(n-2)

• 10n(n²-6)

Factor:
80x⁵-70x²-60x⁷

• 2x²(80x³-70-60x⁶)

• 10x²(80x⁴-70x-60x⁶)

• 10x²(8x³-7-6x⁶)

• 3x²(80x³-40-60x⁵)

What factoring method involves 4 terms and using GCF's?

• Greatest Common Factor

• Factor by Grouping

• Factoring Trinomials with a 1 in front (X-puzzle)

• Factoring Trinomials with a number in front (A*C X Puzzle)