Algebra 1 @ Section 11-1 : Rational Expressions and Functions ALGEBRA I - SECTION 11-1 : Rational Expressions and Functions 2/22/2019 Algebra 1 @ Section 11-1 : Rational Expressions and Functions

Factoring Review! 1) x2 – 3x - 18 2) x2 - 100 3) 2x2 – 11x + 12

Rational Expression - An algebraic fraction whose numerator and denominator are polynomials.

Rational Expression - An algebraic fraction whose numerator and denominator are polynomials. Examples:

Rational Expression - An algebraic fraction whose numerator and denominator are polynomials. Examples:

Rational Expression - An algebraic fraction whose numerator and denominator are polynomials. Examples:

Excluded Values - roots that make the denominator equal zero.

Excluded Values - roots that make the denominator equal zero Excluded Values - roots that make the denominator equal zero. What are the excluded values for the previous examples?

Simplifying Rational Expressions Step 1: Factor the numerator and denominator

Simplifying Rational Expressions Step 1: Factor the numerator and denominator Step 2: Set each factor of the denominator equal to zero, solve, and state the excluded values

Simplifying Rational Expressions Step 1: Factor the numerator and denominator Step 2: Set each factor of the denominator equal to zero, solve, and state the excluded values Step 3: Cancel

Simplifying Rational Expressions Step 1: Factor the numerator and denominator Step 2: Set each factor of the denominator equal to zero, solve, and state the excluded values Step 3: Cancel Step 4: Rewrite as a final answer

Simplify each rational expression and state the excluded values. 1.

Simplify each rational expression and state the excluded values. 1. 2.

Simplify each rational expression and state the excluded values. 1. 2

Simplify each rational expression and state the excluded values. 1. 2

Simplify each rational expression. 5. ALGEBRA I - SECTION 11-1 : Rational Expressions and Functions 2/22/2019 Simplify each rational expression. 5.

Simplify each rational expression. 5. 6.

Simplify each rational expression.