Factor By Grouping

Factor By Grouping

By Deb Scott

Factoring Polynomials with Four Terms

• Step 1: GROUP

• Step 2: GCF

• Step 3: CHECK

• Step 4: REGROUP

Factoring a GCF

• Find the GCF for each group

• Divide by that GCF

• The parenthesis should be TWINS

Multiple Choice

7r³-8r²+42r-48

• (r²+6)(7r+8)
• (r²+6)(7r-8)
• (r²+6)(r²+8)
• (r²+6)(7r+6)

Multiple Choice

20x³-25x²+4x-5

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

Multiple Choice

2x³-8x²-x+4

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

Multiple Choice

x³-5x²+5x-25

• (x²-5)(x-5)
• (x²+5)(x-5)
• (x²+5)(x+5)
• (x²-1)(x-25)

Multiple Choice

30x³+15x²-18x-9

• (5x²-3)(6x+1)
• (5x²-3)(6x+3)
• 3(5x²+3)(2x-1)
• 3(5x²-3)(2x+1)

Multiple Choice

Factor by grouping:
5n³-10n²+3n-6

• (5n²+3)(n-2)
• (5n²-3)(n-2)
• (5n³+3)(n-2)
• 10n(n²-6)

Multiple Choice

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)
• (x²+2)(x-7)
• (x²+2)(x+7)
• (x²-2)(x+7)

Multiple Choice

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)
• (2p²+6)(p+4)
• (4p²+3)(p+2)
• (4p²+8p)(3p+6)

Multiple Choice

Factor by grouping
x³ - 4x² -4x + 16

• (x+4)(x+2)
• (x-4)(x² -4) 
• (x+4)(x² -4)
• (x-4)(x-2)

Multiple Choice

Factor by grouping:
5n³-10n²+3n-6

• (5n²+3)(n-2)
• (5n²-3)(n-2)
• (5n³+3)(n-2)
• 10n(n²-6)

Multiple Choice

Factor by grouping:

4p³ + 8p² + 3p + 6

• (2p² + 3)(p + 2)

• (2p² + 6)(p + 4)

• (4p² + 3)(p + 2)

• (4p² + 8p)(3p + 6)

Multiple Choice

Factor by grouping.

20x³ - 25x² + 4x - 5

• (5x² - 5)(4x + 1)

• 5(x² - 1)(4x + 5)

• (5x² + 1)(4x - 5)

• (5x² + 1)(4x - 1)

Multiple Choice

Factor by grouping:

5n³ - 10n² + 3n - 6

• (5n² + 3)(n - 2)

• (5n² - 3)(n - 2)

• (5n³ + 3)(n - 2)

• 10n(n² - 6)

Multiple Choice

Factor by grouping

x³ - 4x² - 4x + 16

• (x + 4)(x + 2)

• (x - 4)(x² - 4)

• (x + 4)(x² - 4)

• (x - 4)(x - 2)