When Multiplying Monomials and Polynomials?

Since each term in a polynomial is a monomial, multiplying polynomials becomes multiplying monomials. When multiplying monomials, use the product rule for exponents. The factors are regrouped, and then multiplied. Notice the product rule for exponents at work [when the bases are the same, add the exponents].

How do you multiply a monomials by another monomial and a monomial by a polynomial with more than one term?

When you multiply polynomials where both polynomials have more than one term you just multiply each of terms in the first polynomial with all of the terms in the second polynomial. When multiplying two binomial you can use the word FOIL to remember how to multiply the binomials.

What is the product rule for multiplying Monomials?

When you multiply monomials, first multiply the coefficients and then multiply the variables by adding the exponents. Note that when you multiply monomials with same base, you can add their exponents. This is called the Product of Powers Property.