


Enter an expression and click the Expand button. Expanding PolynomialsMONOMIALS MULTIPLIED BY POLYNOMIALSOBJECTIVESUpon completing this section you should be able to:
A polynomial is the sum or difference of one or more monomials.
Special names are used for some polynomials. If a polynomial has two terms it is called a binomial. If a polynomial has three terms it is called a trinomial. In the process of removing parentheses we have already noted that all terms in the parentheses are affected by the sign or number preceding the parentheses. We now extend this idea to multiply a monomial by a polynomial.
PRODUCTS OF POLYNOMIALSOBJECTIVESUpon completing this section you should be able to:
In the previous section you learned that the product A(2x + y) expands to A(2x) + A(y). Now consider the product (3x + z)(2x + y). Since (3x + z) is in parentheses, we can treat it as a single factor and expand (3x + z)(2x + y) in the same manner as A(2x + y). This gives us If we now expand each of these terms, we have Notice that in the final answer each term of one parentheses is multiplied by every term of the other parentheses.
Since  8x and 15x are similar terms, we may combine them to obtain 7x. In this example we were able to combine two of the terms to simplify the final answer. Here again we combined some terms to simplify the final answer. Note that the order of terms in the final answer does not affect the correctness of the solution.
