**Problem 1**

Look for a common factor, then look to see if it is a difference of squares, and finally check to see if it is a trinomial.

**Problem 2**

A difference of squares has the form *a*^{2} – *b*^{2}; do not confuse with a sum of squares *a*^{2} + *b*^{2} or with a square of a difference, namely (*a – b*)^{2}.

**Problems 3-6**

Common factor; see Example 5.

**Problems 7-26**

Use FOIL; see Examples 3 and 4.

**Problems 27-29**

Look to factor these using more than one technique. See Example 5.

**Problems 31-34**

See Example 6 and remember that a sum of squares is not factorable.

**Problems 35-36**

First factor as a difference of squares and then look at the factors in order to factor again. Remember a sum of squares does not factor.

**Problems 37-48**

See Examples 1 and 2. If you are having trouble understanding these problems, cut some strips of paper and physically rearrange the pieces.

### Note: Homework Hints are given only for the Level 1 and Level 2 problems.

However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 problems, check some sources for help on the internet (see the LINKS for that particular section. As a last resort, you can call the author at (707) 829-0606.

On the other hand, the problems designated “Problem Solving” generally require techniques that do not have textbook examples.

There are many sources for homework help on the internet.

**Algebra.help**

Here is a site where technology meets mathematics. You can search a particular topic or choose lessons, calculators, worksheets for extra practice or other resources.

**http://www.algebrahelp.com/**

**Quick Math**

This site provides online graphing calculators. This is especially useful if you do not have your own calculator.

**http://www.quickmath.com/**

**The Math Forum** @ Drexel

This site provides an internet mathematics library that can help if you need extra help. For additional homework help at this site, click one of the links in the right-hand column.

**http://mathforum.org/**

**Mathematics Home Page**

Access the Clemens and Alcuins Library of CSB/SJU and find one of the world’s best collections of mathematical internet sites.

**http://library.csbsju.edu/rqs.phtml?subject_id=32**