Factor by GCF and Grouping Test

Which of the following is a good definition for the Greatest Common Factor of a polynomial?

• The constants and variables that are the smallest
• The constants and variables that are the largest
• The largest combination of constants and variables you can "pull out" of a polynomial
• The common factor that is the greatest

Factor:
56a³-8a

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

Factor:

2n²-8n³

• 2n²(n-4n²)

• 2n²(1-4n)

• 2n³(10-8n²)

• 3n(1-4n)

Factor:

80x⁵-70x²-60x⁷

• 2x²(80x³-70-60x⁶)

• 10x²(80x⁴-70x-60x⁶)

• 10x²(8x³-7-6x⁵)

• 3x²(80x³-40-60x⁵)

Factor
10x² + 15x-5

• 25(10x³+45x-15)
• 5(2x³ + 3x²-x)
• x(10x³+15x-5)
• 5(2x²+3x-1)

Factor
4b⁵+4b³+16b²

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

Factor:
p² - 14p

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

(4x+1) - (5x−2)

• 9x + 3

• 20x² − 3x - 2

• x² + 3

• -x + 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)