This is a free lesson from our course in Algebra II This lesson explains how to multiply polynomials. You can use the FOIL method (First Outside Inside Last) to multiply polynomials. When doing this,you will use the distributive and commutative properties to distribute the terms from one of the polynomials being multiplied to the other. Multiplication of Polynomials: � the basic rule is that each term in the first factor has to multiply each term in the other factor � the number of products you get has to be the number of terms in the first factor times the number of terms in the second factor. For example, a binomial times a binomial gives four products, while a binomial times a trinomial gives six products. � be careful and methodical so that none of the term is missed � after the multiplication is complete, collect like terms to simplify the result. (More text below video...)
Other useful lessons:
 Addition and subtraction of polynomials Polynomial long division
(Continued from above)E.g. In multiplication of (x2 + 2x + 15) and (x2 - 3), (x2 + 2x + 15) is the first expression and (x2 - 3) is the second expression. You'll multiply every term of the first expression by every term of the second expression and then combine all like terms to simplify, which yields to x4 + 2x3 + 12x2 - 6x - 45.
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