**Factoring When Terms Have a Common Factor**

The polynomials we consider most when factoring are those with more than one term. To multiply a monomial and a polynomial with more than one term, we multiply each term of the polynomial by the monomial using the

distributive laws:

*a(b + c) = ab + ac and a(b – c)= ab – ac.*

** **

To factor, we do the reverse. We express a polynomial as a product using the distributive laws in reverse:

** ab **+

**=**

*ac*

*a(b +*

*c) and*

*ab –*

*ac =*

*a(b –*

*c)***.**

** **

**TIPS FOR FACTORING**

**a. **Before doing any other kind of factoring, first try to factor out the GCE.

**b. **Always check the result of factoring by multiplying.