Factoring: GCF and Grouping

Factor out the GCF

18x³ + 81x - 27

• 9x (2x² + 9x - 3)

• 3 (6x³ + 27x - 9)

• 9 (2x³ + 9x - 3)

• 9 (2x² + 9x - 3)

Factor: 63 + 45p

• 9(7 + 5p)

• 5(9 + 7p)

• 9p(7 + 5p)

• 7(9 + 5p)

Find the factors

16xy - 24y

• 4y (4x - 6)

• 8y (2xy - 3y)

• 8y (2x - 3)

• 2xy (8 - 12y)

Factor out the GCF

3x³ + 9x

• 3x (x² + 3)

• 3x ( x³ + 9)

• x (3x² + 9)

• 3x (x³ + 3x)

Factor Completely: 3m⁴ + 6m³ + 48m² + 96m
**Hint:Factor by GCF THEN grouping

• 3m(m² + 16)(m + 2)

• 3m(m² − 16)(m − 2)

• 3m(m + 4)(m − 4)(m + 2)

• 3m(m + 4)(m − 4)(m − 2)

Factor Completely: 8x⁴ + 2x³ − 16x² − 4x

• 2x²(4x + 1)(x − 2)

• 2x(4x + 1)(x² − 2)

• 2x(x + 1)(x − 1)

• 2(x² − 2)(4x − 1)

Factor Completely:

2n²-8n³

• 2n²(n-4n²)

• 2n²(1-4n)

• 2n³(10-8n²)

• 3n(1-4n)

Factor Completely: 8x⁴ + 2x³ − 16x² − 4x

• 2x²(4x + 1)(x − 2)

• 2x(4x + 1)(x² − 2)

• 2x(x + 1)(x − 1)

• 2(x² − 2)(4x − 1)

3x³ + 9x² - 15x 

• x(3x² + 9x - 15) 

• 3x(x² + 3x - 5)

• 3x(x² - 9x + 15) 

• x(3x² -9x + 15) 

30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)