How to multiply a monomial by a polynomial - ACT Math

Multiply by both terms in

When multiplying a polynomial by a monomial, each term in the polynomial gets multiplied by the monomial. Calculate each term one at a time, then add the results to get the final answer. In this case, we start by multiplying . and , thus we get . For the second term of the polynomial, we multiply and , resulting in . Finally, we multiply and , resulting in . Adding the three terms that we just found, we come to the answer of .