ALG Unit 5b: Factoring by Grouping

7r³ - 8r² + 42r - 48

• (r² + 6)(7r + 8)

• (r² + 6)(7r - 8)

• (r² + 6)(r² + 8)

• (r² + 6)(7r + 6)

20x³ - 25x² + 4x - 5

• (5x² - 5)(4x + 1)

• 5(x² - 1)(4x + 5)

• (5x² + 1)(4x - 5)

• (5x² + 1)(4x - 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 2x(5x - 3) - (5x - 3)

• (2x - 1)(5x - 3)

• (2x)(10x - 6)

• 2x(25x² - 9)

• (5x-3)² (2x)

What is the factored form of

4p³ + 8p² + 3p + 6

• (2p² + 3)(p + 2)

• (2p² + 6)(p + 4)

• (4p² + 3)(p + 2)

• (4p² + 8p)(3p + 6)

Factor by grouping:

x³ + 7x² - 2x -14

• (x² - 2)(x -7)

• (x² + 2)(x - 7)

• (x² + 2)(x + 7)

• (x² - 2)(x + 7)

What is the factored form of 2a³ - 2a²

• 2a²(a)

• 2a(2a² - a)

• 2a²(a - 1)

• 2a²(a + 1)

Factor the following:

3x³ + 3x² + 4x + 4

• (3x² + 1)(x + 4)

• (3x² + 4)(x + 1)

• (3x + 4)(x² + 1)

• (3x + 1)(x² + 4)

30x³ + 15x² - 18x - 9

• (5x² - 3)(6x + 1)

• (5x² - 3)(6x + 3)

• 3(5x² + 3)(2x - 1)

• 3(5x² - 3)(2x + 1)

r² - rt - 5r + 5t

• (r + 5)(r - t)(r + t)
• (r - t)(r - 5)
• (r - 5)(r + t)
• (r - 5)(r - t)(r + t)