Factoring Out a GCF from a Polynomial

Factor:
56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Tags

CCSS.HSA.APR.C.4

Factor
12x + 9

• 3(4x + 3)

• x(12+9)

• 3(4x - 3)

• not factorable

Tags

CCSS.7.EE.A.1

Factor the GCF:

-80r² - 8r

• -8r (10r + 1)

• -8 (10r + 1)

• -8r (10r - 1)

• -8 (10r - 1)

Factor the GCF: 36m³n - 6n⁴

• 6n² (6m - n)

• 6n² (6m³ - 1)

• 6n (6mn - 1)

• 6n (6m³ - n³)

Factor the GCF: 5x³y³ + 10x³y²

• 5x²y² (y + 2)

• 5x³y² (y + 2)

• 5xy (y + 2)

• 5x³y³ (y + 2)

Factor the GCF:

18a⁷b - 60a⁶b

• 6a⁷ (3b - 10)

• 6a⁶b (3a - 10)

• 6a⁷b (3b - 10)

• 6a⁶b (3a - 10b)

Factor the GCF:

10b⁴ - 20b² + 20

• 10 (b⁴ -2b² + 2)

• 10b (b⁴ -2b² + 2)

• 10b² (b² -2b + 2)

• 10 (b² -2b + 2)

Factor the GCF:

-10b² + 12b - 12

• b (-10b² + 12b - 12)

• 2b (-5b² + 6b - 6)

• -2 (5b² - 6b + 6)

• 6 (-b² + b - 1)

Factor the GCF: 14x³y⁴ + 7y² + 49x

• 7 (2xy + 7y + 49x)

• 7xy (2xy + 7y + 49x)

• 7y (2xy + 7 + 49x)

• 7 (2x³y⁴ + y² + 7x)

Factor the GCF:

• 5x² (1 + 6x²y + 5x⁶y)

• 5x (1 + 6x²y + 5x⁶y)

• 5 (1 + 6x²y + 5x⁶y)

• 5x⁶ (1 + 6x²y + 5xy)

Tags

CCSS.7.EE.A.1