GCF Factoring (Boyer)

Which is a common factor of 12x and 27?

• x

• 12

• 3

• 9

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

What is the GCF of the terms below?

24x³ + 36x²

• 8x

• 6x²

• 12x²

• 4x

• 12x³

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

• 100a²b²
• 10b³
• 10ab²
• 10b²

Factor:
2n³+16n+12

• 2n(n³+24n+6)
• 2(n³+8n+6)
• 2n(n³+8n+6)
• 3(n³+8n+6)

Factor out the GCF

3x³ + 9x

• 3x (x² + 3)

• 3x ( x³ + 9)

• x (3x² + 9)

• 3x (x³ + 3x)

Factor:
56a³-8a

• 8a²(56a³-8a)
• 8a(7a²-1)
• 8a(7a³-a)
• 8a²(35a²-a)

Factor:

63x⁴ - 7x² + 28x

• 7x(9x² - 7 + 4x)

• x(63x³ - 7x + 28)

• 7x(9x³ - x + 4)

Factor:
p² - 14p

• p(1 - 14)
• 2p(p - 7)
• p²(1-14)
• p(p - 14)

Factor completely

18x³ + 81x - 27

• 9x (2x² + 9x - 3)

• 3 (6x³ + 27x - 9)

• 9 (2x³ + 9x - 3)

• 9 (2x² + 9x - 3)