Factoring Gcf's, Binomial Factors, and Grouping

to express a polynomial as the product of monomials and polynomials

• factoring

• degree of a polynomial

• FOIL method

• Square Root Property

if the product of two factors is 0, then at least one of the factors must be 0

• Zero Product Property

• factoing

• binomial

• prime polynomial

the use of the Distributive Property to factor some polynomials having four or more terms

• factoring by grouping

• leading coefficient

• factoring

• degree of a polynomial

Factor:
x² - 49

• (x + 7)(x - 7)

• (x + 7)²

• (x - 7)²

• (x+7)(x-1)

6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• not factorable

Factor the following
12x³y⁴z²+14x⁴yz-6x⁵y⁴z²

• 2x³yz(6xy³z+7x-3x²y³z)

• 6x³yz(2y³z+2x-1x²y³z)

• 2x²y²z(6y³z+7x-3x²y³z)

• 2xyz(6x²y³z+7xyz-3x²y³z)

Factor:
p² - 14p

• p(1 - 14)

• 2p(p - 7)

• p²(1-14)

• p(p - 14)

Which of the following binomials is not a difference of squares?

• x² - 64

• x² - 16

• x² + 400

• x² - 100

Which of the following is a correct rewriting or form of the binomial, x² - 169 ?

• (x + 13) (x - 13)

• (x + 13)²

• (x - 14) (x - 13)

• All of the above

Factor x³ - 4x.

• (x-4)(x²-4)

• x(x-2)(x+2)

• x(x-4)

• (x-2)(x+2)