Adding & Subtracting Rational Expressions. Vocabulary Rational Expression Rational Expression - An expression that can be written as a ratio of 2 polynomials.

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Presentation transcript:

Adding & Subtracting Rational Expressions

Vocabulary Rational Expression Rational Expression - An expression that can be written as a ratio of 2 polynomials Excluded Value Excluded Value – A number that makes a rational expression undefined. Simplest form of a rational expression Simplest form of a rational expression – Numerator and denominator have no factors in common other than 1.

Ex. Find the excluded values of the expression. 1.2.

How do we add/sub fractions with like denominators?

Ex. Add/Sub Rational Functions (LIKE Denominators) 1.Add/Sub Numerator 2.Leave Denominator

How do we add/sub fractions with unlike denominators?

Ex. Add/Sub Rational Functions (UNLIKE Denominators) 1.Get Common Denominator 2.Follow Add/Sub Steps

Ex. Add/Sub Rational Functions (UNLIKE Denominators)

EX. Simplify the expression. State the excluded value. 1.Divide Numbers 2.Simplify Variables

EX. Simplify the expression. State the excluded value.

Ex. Multiply Rational Functions 1.Multiply Numerators 2.Multiply Denominators 3.Simplify (See previous slide)

Ex. Divide Rational Functions “Keep Change Flip!” 1.Change Division to Multiplication 2.Flip the 2 nd Fraction 3.Simplify (See previous slide)

Ex. Multiply or Divide Rational Functions

HOMEWORK! Pg. 162 #5 Pg. 163 #1-3, 10 Pg. 167 #1, 2, 10, 11 Pg. 173 #1-6, 13-15