Algebra 1 Factor by Grouping Practice

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.

20x³ - 25x² + 4x - 5

• (5x² - 5)(4x + 1)

• 5(x² - 1)(4x + 5)

• (5x² + 1)(4x - 5)

• (5x² + 1)(4x - 1)

Factor by grouping

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 by 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

x³ - 4x² - 4x + 16

• (x + 4)(x + 2)

• (x - 4)(x² - 4)

• (x + 4)(x² - 4)

• (x - 4)(x - 2)

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

2x³ - 8x² - x + 4

• (2x² - 1)(x - 4)

• 2(x² - 1)(x + 4)

• (x² - 1)(2x - 4)

• (2x² + 1)(x - 4)

Decide if (x - 3) is a factor of

3x³ + 10x² - x - 12

• Yes, it is a factor

• No, it is not a factor

Determine if (3v - 7) is a factor of

3v² + 3v - 7v - 7.

• Yes, it is a factor.

• No, it is not a factor.