Explain how you can use the distributive property to check the binomial factors when a trinomial has been factored. Include an example in your explanation.

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