Question

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.

Answer 1

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

Answer 2

Hope this helps

Explanation:

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