Factoring Basics

Factor.

x² - 5x - 24

• (x - 3)(x + 8)

• (x + 3)(x - 8)

• (x + 5)(x - 24)

• (x - 4)(x + 6)

Factor.

9x⁴y³ - 6x²y⁶

• prime

• 3xy (3x⁴y³ - 2x²y⁶)

• 3x²y³ (3x² - 2y³)

• 3x⁴y⁶ (3y³ - 2x²)

Factor
18a²b⁴c + 24ab³c²

• 6ab³c(3ab + 4c)
• 3abc(6ab³ + 8b²c)
• 6abc(3ab³ + 4c)
• 6ab3c(3b + 4c)

What is the greatest common factor of the two terms in the expression x⁵y²+x²y⁷z

• x²
• x²y²z
• x²y²
• x⁵y⁷z

Factor
-64a⁴b - 96ab³ + 8a

• 8a(-8a³b - 12b³ + a)
• 8ab(-8a³ + 12b² + 1)
• 8a(8a³b - 12b² + 1)
• 8a(-8a³b - 12b³ + 1)

Tags

CCSS.HSA.APR.C.4

What is the greatest common factor in the three terms -96xy - 144x - 84

• 12
• -12
• 12x
• -12x

Factor:
56a³-8a

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

Tags

CCSS.HSA.APR.C.4

Factor:
2n³+16n+12

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

Factor
10x² + 15x-5

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

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)