Factor by Grouping Techniques

Factor by grouping:

x³ + 7x² - 2x - 14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

x² + 8x + 2x + 16

• (x+2)(x+8)

• (x-2)(x-8)

• (x+1)(x+16)

• (x+6)(x+10)

Factor

9x² - 12x + 6x - 8

• (3x+2)(3x-4)

• (3x+2)(3x+4)

• (3x-2)(3x-4)

• (x-1)(9x+8)

Factor

3v² + 3v - 7v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)

Factor:

6x² + 2x – 21x – 7

• (2x +7)(3x – 1)

• (1x – 1)(6x+7)

• (2x – 7)(3x+1)

• (6x – 7)(1x+1)

Factor: 6x² + 21x + 4x + 14

• (3x - 2)(2x - 7)

• 4(2x + 5)(3x - 4)

• (3x + 2)(2x + 7)

• 6(x + 2)(x - 7)

Factor completely.

2n² + 10n + 3n + 15

• (5n - 9)(n - 3)

• (3n + 7)(n + 4)

• (2n + 3)(n + 5)

• Not factorable

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

30x³+15x²-18x-9 hint: GCF then Factor by Grouping

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

Factor:

80x⁵-70x²-60x⁷

• 2x²(40x³- 35 - 30x⁵)

• 10x²(8x⁴ - 7x -6x⁶)

• 10x²(8x³ - 7 - 6x⁵)

• 10x⁷(8x²- 7 - 6)