Factoring Polynomials: GCF and Grouping

Factor by GCF:

18a²-15a

• 15a(3a-1)

• 3a(6a-1)

• 3(6a-5)

• 3a(6a-5)

Factor by GCF:
4b⁵ + 4b³ + 16b²

• 4b³(b⁴+b²+4b)
• 4b³(b⁴+4b+5)
• 4(b⁵+b³+4b²)
• 4b²(b³+b+4)

What is the GCF of the trinomial?

6x⁵y⁴+24x⁶y²-36x³y³

• 6x³y²

• 6xy

• 6x⁶y⁴

• 6x³y

Factor by GCF

12x + 9

• 3(4x + 3)

• x(12+9)

• 3(4x - 3)

• not factorable

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)

30x³+15x²-18x-9

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

x³-5x²+5x-25

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

What does GCF stand for?

• Grandma Can Flo!
• Grid Characterization Facility
• Gluten and Casein Free
• Greatest Common Factor

Factor the following

12x³y⁴z² + 14x⁴yz - 6x⁵y⁴z²

• 2x³yz(6xy³z + 7x - 3x²y³z)

• 6x³yz(2y³z + 2x - 1x²y³z)

• 2x²y²z(6y³z + 7x - 3x²y³z)

• 2xyz(6x²y³z + 7xyz - 3x²y³z)