# Rational Expressions

### By Sarah Durr

## Simplifying Rational Expressions

**1.** factor both the numerator and denominator

**2.** eliminate common factors

**3.** simplify

**4.** check to see under which conditions is the expression undefined

## 1. Factor Take the given expression and factor the polynomials in the numerator and denominator. | ## 2. Eliminate Eliminate the common factors that are in BOTH the numerator and denominator. | ## 3. Simplify Remove the common factors (because they cancel out) to simplify the expression. |

## Multiplying & Dividing Rational Expressions

**1.** (if division) switch the numerator and denominator of one of the expressions (A.K.A. changing it to a multiplication expression)

**2.** write out the factors for EVERYTHING

**3. **eliminate all common factors

**4. **simplify expression

## Want a short cut for multiplying and dividing rational expressions?

## Simplifying Rational Expressions Before Multiplying & Dividing

**1. **(if division) switch the numerator and denominator of one of the expressions (A.K.A. changing it to a multiplication expression)

**2. **factor the polynomials

**3. **eliminate common factors

**4. **simplify

**5. **multiply

## Summary of Topics in Today's Newsletter

**1.**Simplifying Rational Expressions

**2. **Multiplying & Dividing Rational Expressions

**3. **Simplifying Rational Expressions Before Multiplying & Dividing (A.K.A. Making Polynomials in the Numerator and Denominator)

## Mark Your Calendar!!

**Quiz 4:**Tuesday, 12.8.2015

**Test 2:** Thursday, 12.10.2015