In this lesson, the various ways to multiply polynomials are discussed, including distribution, FOIL, long multiplication, and using Punnett squares. The importance of remembering to distribute is emphasized, and while FOIL is an easy method to remember, it only works for binomials. Long multiplication involves multiplying every term in one polynomial by every term in the other, while Punnett squares can simplify the process by finding the area of the product of two binomials. A word problem involving finding the dimensions of a swimming pool is also solved using polynomial multiplication.
Several approaches to multiplying polynomials. Distributing, foiling, long multiplication, and using Punnett Squares are described as ways to multiply polynomials.