Q:

How do you multiply polynomials?

A:

Quick Answer

You can multiply polynomials by using the FOIL method. FOIL is an acronym that stands for First, Outer, Inner, Last. There are many other ways to multiply polynomials, but the FOIL method is by far the most efficient and less error-prone method to use.

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Full Answer

  1. Determine the polynomials you are going to be multiplying

    Gather the polynomials you will be multiplying, and put them side by side. Put each polynomial in between a set of parenthesis.

  2. Multiply the first terms

    Multiply the first term of both parenthesis.

  3. Multiply the outer terms

    Multiply the first term of the first parenthesis by the second term of the second parenthesis.

  4. Multiply the inner terms

    Multiply the second term of the first parenthesis by the first term of the second parenthesis.

  5. Multiply the last terms

    Multiply the second term of the first parenthesis by the second term of the second parenthesis.

  6. Simplify your product

    Add or subtract any like terms in order to simplify the product of the polynomials you multiplied.

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