Lesson 1: Quick Review of Exponents

• Zero exponents

• Negative exponents

• Negative exponents with fractions as base

• Exponent laws

• Exponents as fractions

  • Solutions to examples explained

• Solving exponent equations

  • Steps to solving

  • Solutions to increasingly difficult examples explained

Lesson 2: Adding, Subtracting and Multiplying Polynomials

• Steps to adding polynomials

  • Solutions to examples explained

• Steps to subtracting polynomials

  • Solutions to examples explained

• Multiplying a monomial and a polynomial

  • The distributive property

  • Solutions to examples explained

• Multiplying a binomial and a binomial

  • Solutions to examples explained

• Multiplying two polynomials

  • Solution to an example explained

Lesson 3: Factoring Polynomials

• Common factoring

  • Tips for finding factors

  • Solutions to examples explained

• Difference of squares factoring

  • Examples explained

• Perfect square trinomial factoring

  • How to recognize a perfect square trinomial

  • Solutions to examples explained

  • Product / sum method of factoring (a = 1)

  • Decomposition method (a > 1)

  • Examples with increasing difficulty explained

Lesson 4: Simplifying Rational Expressions

• Some key definitions

  • Restrictions

  • 4 steps for finding restrictions

  • Examples with increasing difficulty explained

Here are a few sample questions for you to practice. The answers are given at the end.