Factor GCF and Factor by Grouping

Factor by GCF:
6x + 24

• 2(3x+12)
• 6(x+4)
• x(6+24)
• not factorable

Tags

CCSS.7.EE.A.1

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)
• 2n²(4n + 1)
• n²(8n+2)
• 3n(4n+1)

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:
4p³+8p²+3p+6

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

Factor Completely

12x²y⁴ - 6xy

• 3xy (4xy³ - 2)

• 6xy (2xy³ - 1)

• 6xy (2x³y⁵ - x²y²)

• 6xy ( 2xy³)

2x³-8x²-x+4

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

Factor Completely:

2n²-8n³

• 2n²(n-4n²)

• 2n²(1-4n)

• 2n³(10-8n²)

• 3n(1-4n)

Factor by grouping

x³ - 4x² -4x + 16

• (x+4)(x+2)

• (x-4)(x² -4)

• (x+4)(x² -4)

• (x-4)(x-2)

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
7r³-8r²+42r-48

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