Factoring and Solving with GCF

Find the greatest common factor of the monomials

21x² y³ and 28x³ y²

• 14x² y²

• 4x² y²

• 7x² y²

• 7x² y³

Factor:

p² - 14p

• p(1 - 14)

• 2p(p - 7)

• p²(1-14)

• p(p - 14)

Factor:

63x⁴ - 7x² + 28x

• 7x(9x² - 7 + 4x)

• x(63x³ - 7x + 28)

• 7x(9x³ - x + 4)

Factor:
80x⁵-70x²-60x⁷

• 2x²(80x³-70-60x⁶)
• 10x²(80x⁴-70x-60x⁶)
• 10x²(8x³-7-6x⁵)
• 3x²(80x³-40-60x⁵)

Factor:
56a³-8a

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

What is the greatest common factor of the three terms in the expression?
24m³n⁵p + 6mn⁴p² + 4mn⁵

• 2mn
• 24mn⁴
• 2mn⁴
• 2mn⁴p

Factor
-10xy⁹z + 8y³z⁵

• 2y⁴z(-20xy⁶ + 4z⁴)
• 2y³z(-5xy⁶ +4z⁴)
• 2y³z(-5xy⁶z + 4z⁵)
• 2y³z(-5xy⁶z + 8z⁴)

Factor
12j²k³ - 20hj

• 4j(3jk³ - 5h)
• 4j(6jk³ - 10h)
• 4j(3jk² - 5h)
• 4j²(24j²k³ - 20h)

Factor
r² -16r + 60

• (r - 15)(r + 4)
• (r - 6)(r + 10)
• (r - 6)(r - 10)
• (r +30)(r - 2)

Factor
d² - 10d + 25

• (d + 5) (d - 5)
• (d - 15) (d + 10)
• (d + 5) (d - 20)
• (d - 5) (d - 5)