4.5 Summative: Factoring Polynomials by Grouping

Factor by Grouping:

x³ + 7x² - 2x - 14

• (x² - 2)(x - 7)

• (x² + 2)(x - 7)

• (x² + 2)(x + 7)

• (x² - 2)(x + 7)

Factor by Grouping:

4p³ + 8p² + 3p + 6

• (2p² + 3)(p + 2)

• (2p² + 6)(p + 4)

• (4p² + 3)(p + 2)

• (4p² + 8p)(3p + 6)

Factor by Grouping:

5n³ - 10n² + 3n - 6

• (5n² + 3)(n - 2)

• (5n² - 3)(n - 2)

• (5n³ + 3)(n - 2)

• 10n(n² - 6)

Factory by Grouping:

20x³ - 25x² + 4x - 5

• (5x² - 5)(4x + 1)

• 5(x² - 1)(4x + 5)

• (5x² + 1)(4x - 5)

• (5x² + 1)(4x - 1)

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:

x³ + 7x² - 2x - 14

• (x² - 2)(x - 7)

• (x² + 2)(x - 7)

• (x² + 2)(x + 7)

• (x² - 2)(x + 7)

Factor by Grouping:

3x³ - 3x² + x - 1

• (x² + 1)(3x + 1)

• (3x² + 1)(x - 1)

• (3x - 1)(x² - 1)

• (3x + 1)(x² - 2)

Factor by Grouping:

3x³ - x² + 6x - 2

• (x² + 2)(3x + 1)

• (x² + 2)(3x - 1)

• (3x³ + 6x)(x² - 2)

• 3(x² + 1)(3x - 1)

Factor by Grouping:

2x³ + 12x² - 5x - 30

• 2(x² - 5) (x + 6)²

• (x + 6)²

• (2x² + 5) (x - 6)

• (2x² - 5) (x + 6)

Factor by Grouping

7r³ - 8r² + 42r - 48

• (r² + 6)(7r + 8)

• (r² + 6)(7r - 8)

• (r² + 6)(r² + 8)

• (r² + 6)(7r + 6)