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Algebra 2 5-4 Rational Algebraic Expressions. WARMUP Simplify:

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Presentation on theme: "Algebra 2 5-4 Rational Algebraic Expressions. WARMUP Simplify:"— Presentation transcript:

1 Algebra 2 5-4 Rational Algebraic Expressions

2 WARMUP Simplify:

3 5-4 Rational Algebraic Expressions Recall that a rational number is one that can be expressed as a quotient of integers. A rational algebraic expression, or rational expression, is one that can be expressed as a quotient of polynomials. Examples:

4 5-4 Rational Algebraic Expressions A rational expression is in simplified form, or in simplest form, when it is expressed as a quotient of polynomials whose greatest common factor is 1. In other words, look for common factors

5 5-4 Rational Algebraic Expressions Simplify:

6 5-4 Rational Algebraic Expressions Try this:

7 5-4 Rational Algebraic Expressions A function that is defined by a simplified rational expression in one variable is called a rational function.

8 5-4 Rational Algebraic Expressions Find the domain and the zeros of function  :

9 5-4 Rational Algebraic Expressions Examples:

10 5-4 Rational Algebraic Expressions Homework: p. 228 # 1 – 27 ODD

11 5-4 Rational Algebraic Expressions

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