Factoring Polynomials by Grouping

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:

20x³ – 25x² + 4x – 5

• (5x² – 5) (4x + 1)

• 5 (x² – 1) (4x + 5)

• (5x² + 1) (4x – 5)

• (5x² + 1) (4x – 1)

Factor by grouping:

2x³ – 8x² – x + 4

• (2x² – 1) (x – 4)

• 2 (x² – 1) (x + 4)

• (x² – 1) (2x – 4)

• (2x² + 1) (x – 4)

Factor by grouping:

x³ – 5x² + 5x – 25

• (x² – 5) (x – 5)

• (x² + 5) (x – 5)

• (x² + 5) (x + 5)

• (x² – 1) (x – 25)

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:

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:

30x³ + 15x² – 18x – 9

• (5x² – 3) (6x + 1)

• (5x² – 3) (6x + 3)

• 3 (5x² + 3) (2x – 1)

• 3 (5x² – 3) (2x + 1)

Factor by GCF:

2a³ – 2a²

• 2a² (a)

• 2a (2a² – a)

• 2a² (a – 1)

• 2a² (a + 1)

What is the GCF of 42xy² and 28x³y?

• 84x³y²

• 14y

• 14xy

• 14xy²