Factoring by Grouping

Find the GCF for 10x⁴+35x⁵

• 5x⁴

• 5x⁵

• x⁴

• 10x

Find the GCF for 18x⁵+8x⁴-10x⁶

• 2x⁵

• 2x

• 2x⁴

• 8x⁴

Factor the following expression completely:

28w⁹+12w⁶

• 4w⁵(7w⁴+3w)

• 4w⁶(7w³+3)

• 4(7w⁹+3w⁶)

• w⁶(28w³+12)

Factor the Polynomial

5x² + 45x

• 5x (x + 9)

• x (5x + 9)

• x (5x + 45)

• 9x (x + 5)

Factor the Polynomial

16x² + 48x

• 16x (x + 3)

• 8x (2x + 6)

• 4x (4x + 12)

• 2x (8x + 24)

Find the factors

16xy - 24y

• 4y (4x - 6)

• 8y (2xy - 3y)

• 8y (2x - 3)

• 2xy (8 - 12y)

2x³-8x²-x+4

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

x³-5x²+5x-25

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

30x³+15x²-18x-9

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

Factor 28x² + 63x + 12x + 27 by grouping. Remember to look for common factors first.

• (4x + 3)(7x + 9)

• (7x + 3)(4x + 9)

• (3x + 7)(4x + 9)

• (9x + 4)(3x + 7)