Greatest Common Factoring and Factoring by Grouping

Factor by GCF:
6x + 24

• 2(3x+12)

• 6(x+4)

• x(6+24)

• not factorable

Find GCF of 22x³+11x²

• 11x

• 11x²

• 22x

• 22x²

Factor 8x³ + 18x.

• 2x(4x² + 9)

• 8x(x² + 10)

• 2(4x³ + 9x)

• 8(x³ + 10x)

Factor by grouping:
5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n²-3)(n-2)

• (5n³+3)(n-2)

• 10n(n²-6)

• Factoring by grouping

• Factoring a quadratic

• Factoring out the greatest common factor

• Factoring a sum or difference of cubes

Use your knowledge on GCF's and Factoring by grouping to factor the following:

30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

What is the Greatest Common Factor of the following polynomial?
12t³ + 30t² + 48t

• 12t

• 6t³

• 6t

• 12t³

Find the greatest common factor of
6x⁴y³ - 12x⁴y² + 6x³y²

• 6

• 6xy

• 6x³y²

• 6x⁹y⁶

What is the GCF of 18k and 15k³

• 3k²

• 3k³

• 3k

• 5k

What is the GCF of 10a²b³ and 20a²b²?

• 20a²b³

• 10a²b³

• 20ab²

• 10a²b²