Factoring GCF Multiple Variables

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)

• 2n²(4n + 1)

• n²(8n+2)

• 3n(4n+1)

What is the least common multiple of 7x^2 and 14x^3?

• 14x^3

• 14x^2

• 7x^3

• 7x^2

The factor that all terms have in common.

• GCF

• LCM

• LCD

• GCD

The first step to factoring is to factor out the ____________ from each term.

• x

• least common multiple (LCM)

• variable

• greatest common factor (GCF)

What is the GCF? 5x²+20x

• 5

• x

• 5x

• 20x

Factor:
10x + 15

• 100x + 150

• 10(x + 5)

• 1(10x + 15)

• 5(2x + 3)

Factor:
2n³+16n+12

• 2n(n³+24n+6)

• 2(n³+8n+6)

• 2n(n³+8n+6)

• 3(n³+8n+6)

Factor by GCF:
6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• not factorable

39y⁵ + 12y⁴ - 3y³

• 3y(13y⁴ + 4y³ - y²)

• 3y³(13y² + 4y - 1)

• y³(39y² + 12y - 3)

-10xy⁹z + 8y³z⁵

• -2y⁴z(20xy⁶ - 4z⁴)

• -2y³z(5xy⁶ - 4z⁴)

• -2y³z(5xy⁶z - 4z⁵)

• -2y³z(5xy⁶z - 8z⁴)