Multiplication

To multiply a polynomial by a monomial, we use the Distributive Property, which says: a(b + c) = ab + ac. Replacing the variables with whole numbers demonstrates how the distributive property works. Using a = 2, b = 3, and c = 4;

Apply the Order of Operations	Apply the Distributive Property
2 (3 + 4) =	2 (3 + 4) =
2 ? 7 =	2 ? 3 + 2 ? 4 =
14	6 + 8 =
	14

Since both methods produce the same solution, this demonstrates that the Distributive Property works.