Factoring Polynomials Grouping

Factor by Grouping:

12p³ + 28p² - 42p - 98

• 2(2p² + 7)(3p + 7)

• 2(2p² +7 )(3p - 7)

• 2(2p² - 7)(3p + 7)

• 2(2p² - 7)(3p - 7)

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 by Grouping:

5n³ - 10n² + 3n - 6

• (5n² + 3)(n - 2)

• (5n² - 3)(n - 2)

• (5n³ + 3)(n - 2)

• 10n(n² - 6)

Factor by Grouping:

4b³ + b² + 8b + 2

• (b + 2)(4b + 1)

• (b² + 2)(4b + 1)

• (b + 2)(b + 1)

• (b³ + 2)(4b + 1)

Factor by Grouping

• (x² + 3) (3x - 4)

• (x² - 3) (3x + 4)

• (3x² + 3) (x - 4)

• (3x² - 3) (x + 4)

Tags

CCSS.HSA.APR.C.4

Factor by Grouping:

4p³ + 8p²+ 3p + 6

• (2p² + 3)(p + 2)

• (2p² + 6)(p + 4)

• (4p² + 3)(p + 2)

• (4p² + 8p)(3p + 6)

Factor Completely: 8x⁴ + 2x³ − 16x² − 4x

• 2x²(4x + 1)(x − 2)

• 2x(4x + 1)(x² − 2)

• 2x(x + 1)(x − 1)

• 2(x² − 2)(4x − 1)

Factor the following expression: 4x³ − x² + 16x − 4

• (4x + 1)²(x + 4)

• (x² + 4)(4x − 1)

• (x + 2)(x − 2)(4x − 1)

• (2x + 1)(2x − 1)(4x − 1)

What is the completely factored form of d³ + 3d² − 9d − 27 is

• (d² − 9)(d + 3)

• (d² + 9)(d + 3)

• (d + 3)² (d − 3)

• (d − 3)² (d + 3)

Factor Completely: 2n³ + 7n² − 2n − 7

• (n − 1)²(2n + 7)

• (n − 1)²(2n − 7)

• (n + 1)(n − 1)(2n − 7)

• (n + 1)(n − 1)(2n + 7)