Introduction to Factoring GCF from Polynomials

Factoring a polynomial involving a GCF and a difference of squares: Univariate Question. Factor completely: 72y^3-50y

Tags

CCSS.HSA.APR.C.4

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 by GCF:

6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• Prime

Factor by GCF:

17xy - x

• 17(xy - x)

• y(17x - x)

• x(17y - 1)

• Prime

Factor:
56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Tags

CCSS.HSA.APR.C.4

What is the GCF?
15x + 27

• 3

• 5

• 9

• 2

Tags

CCSS.7.EE.A.1

Factor the polynomial
12x - 9 

• 3x(4x - 3)

• 6(2x - 1)

• 3(4x - 3)

• 3(x - 3)

Tags

CCSS.7.EE.A.1