Factoring: GCF and Grouping

What is the GCF of 12 and 42?

• 12

• 6

• 4

• 42

Factor out the GCF:

4x - 10

• 4(x - 5)

• 2(x - 5)

• 2(2x - 5)

• 2(2x -10)

What is the greatest common factor of 20a²b² and 50b³?

• 100a²b²

• 10b³

• 10ab²

• 10b²

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:
30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

Factor Completely
16x²-32x

• 8x(2x-4)

• 16(x²-2x)

• 16x(x-2)

• Prime

Factor by GCF:

12x³y⁴z² + 14x⁴yz - 6x⁵y⁴z²

• 2x³yz(6xy³z + 7x - 3x²y³z)

• 6x³yz(2y³z + 2x - 1x²y³z)

• 2x²y²z(6y³z + 7x - 3x²y³z)

• 2xyz(6x²y³z + 7xyz - 3x²y³z)

Factor by GCF:

4b⁵ + 4b³ + 16b²

• 4b³(b⁴ + b² + 4b)

• 4b³(b⁴ + 4b + 5)

• 4(b⁵ + b³ + 4b²)

• 4b²(b³ + b + 4)

Factor by grouping 30x³+15x²-18x-9 (hint: factor out GCF first)

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)