What you can do is split one of the binomials and then apply the distributive property if f(x) = (x + 3)(x -2) split the 1st binomial f(x) = x(x -2) + 3(x -2) now apply the distributive property to get f(x)=x2−2x+3x−6 which simplifies to f(x)=x2+x−6
Suppose my binomial factors were (2x-3) and (x+2). To verify these are correct, I could multiply them, which would use the distributive property. If the trinomial I get for my product is the same as the original one I factored, then I know my answer is correct
