8-4 Rational Functions Today’s Objective: I can simplify rational expressions.

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Presentation transcript:

8-4 Rational Functions Today’s Objective: I can simplify rational expressions.

Steps to Simplify Expressions 1.Factor, factor, factor a.Common Factor b.Quadratic Factoring 3. Simplify Cancel common factors 2. Identify restrictions on variables. - Discontinuities

Simplify the following Factor Common Quadratic Simplify Restrictions

Multiplying OR x ≠ 0, 3 x ≠ 0, -5, 5

Multiplying x ≠ -5, 1, 3 x ≠ 0, -4, 7

Dividing x ≠ 0, 3, -3

Dividing x ≠ -5, 2 x ≠ 0, 8, -5 p. 531: 9-29 odds p. 522: 42, 43

8-5 Rational Functions Today’s Objective: I can simplify rational expressions.

Adding & Subtracting After factoring each term: Find the Common Denominator x ≠ 5, -5 x ≠ 3, -3

Calculate the sum or difference x ≠ 2, 1 x ≠ ±5 W.S. Adding and Subtracting Rationals