Algebra 2 Factoring GCF

Factor using GCF or monomial factoring:

w³ + 3w

• 3w(1)

• w(w² + 3)

• w³(w + 3)

Find the GCF of the terms of each polynomial.

• y²

• 4y⁵

• 18y

• 18y²

What is the greatest common factor of the monomials a²b⁵ and a³b³

• a²b³

• a²b⁵

• a³b³

• a³b⁵

Factor by GCF:
6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• not factorable

What is the greatest common factor of 30x and 56x²

• 4x

• 6x

• 2x

• x

What is the Greatest Common Factor of the following polynomial?
12t³ + 30t² + 48t

• 12t

• 6t³

• 6t

• 12t³

Factor
4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

What is the first step in factoring common monomials?

• Divide the given polynomials to the GCF.

• Find the GCF of the coefficient and variable.

• Multiply the exponents.

• Add the coefficient and exponents.

Factor using G.C.F. 2x⁴y - 10x²

• 2x²(x²y - 5)

• 2x(x³y - 5x)

• 2(x⁴y - 5x²)

• x²(2x²y - 5)