123 Simplifying Rational Expressions Day 1.notebook March 10, 2015 Table of Contents 123 Simplifying Rational Expressions...................# A rational expression is an algebraic expression whose numerator and denominator are polynomials. The value of the polynomial expression in the denominator cannot be zero since division by zero is undefined. Remember... Q: Why was the number so happy to get accepted into the Rational Expression Club? **This means that rational expressions may have excluded values.** A: It didn't want to be excluded. Apr 103:35 PM Mar 179:41 AM Find any excluded values of each rational expression Find any excluded values of the rational expression Set the denominator equal to zero to find excluded values! Why are some values excluded? Mar 1710:03 AM Mar 1710:06 AM Your turn (left page)... Find any excluded values of each rational expression A rational expression is in its simplest form when the numerator and denominator have no common factors except 1. Remember that to simplify fractions you can divide out common factors that appear in both the numerator and the denominator. You can do the same to simplify rational expressions. Mar 1710:11 AM Mar 1710:07 AM 1 123 Simplifying Rational Expressions Day 1.notebook Simplify each rational expression, if possible. Identify any excluded values. March 10, 2015 Simplify each rational expression, if possible. Translation: Factor the expression, look to simplify Identify any excluded values. Translation: Set the orgininal denominator equal to zero and solve to find excluded values Mar 1710:08 AM Simplify each rational expression, if possible. Identify any excluded values. Mar 1710:08 AM Feb 163:19 PM Simplify each rational expression, if possible. Identify any excluded values. Mar 1710:08 AM Simplify each rational expression, if possible. Translation: factor and simplify From now on in this chapter, you may assume that the values of the variables that make the denominator equal to 0 are excluded values. You do not need to include excluded values in your answers UNLESS THEY ARE ASKED FOR. aka read the directions!!! Mar 1710:09 AM Mar 1710:10 AM 2 123 Simplifying Rational Expressions Day 1.notebook March 10, 2015 Assignment: p. 870 #215, 2830 Mar 1710:10 AM 3
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