## Intermediate Algebra for College Students (7th Edition)

$(x+7)(x-4)$
Regroup the terms to obtain: $=(x^2+7x)+(-4x-28)$ Factor out the greatest common factor of each group to obtain: $=x(x+7) + (-4)(x+7)$ The $GCF$ for the two terms is a binomial, $(x+7)$. Even though it is a binomial, we can factor it out just like we would factor out a number or a variable. Thus, we factor out the binomial to obtain: $=(x+7)[x+(-4)] \\=(x+7)(x-4)$