Remember the product rule,

**Monomial x Polynomial**

**Multiply**.

**Binomial x Polynomial:**Use the distributive property to multiply polynomials by binomials.

**FOIL**method. (FOIL – Multiply the

**F**irst,

**O**uter,

**I**nner and then

**L**ast terms together.)

**Multiply**.

**Trinomial x Polynomial**

The following problem is one that we will have to be able to do before moving on to the next algebra course. These are tedious, time consuming, and often worked incorrectly. Use caution, take your time and work slowly.

Function notation for multiplication looks like

**Given the functions**

*f*and*g*find (*f g*)(*x*).
The following special products will simplify things if we memorize them.

This special product is often called

**. Notice that the middle terms cancel because one term will always be positive and the other will be negative.***difference of squares***Multiply**.

**Video Examples on YouTube**: