Simplifying rational expressions

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Presentation transcript:

Simplifying rational expressions

Simplest Form A rational expression is in SIMPLEST FORM when its numerator and denominator are polynomials that have no common factors. *Note: when simplifying we still need to remember holes.

Examples Simplify the expression. State holes, vertical asymptotes, horizontal asymptotes, domain and range. 1.

Examples Simplify the expression. State holes, vertical asymptotes, horizontal asymptotes, domain and range. 2.

Examples Simplify the expression. State holes, vertical asymptotes, horizontal asymptotes, domain and range. 3.

Examples Simplify the expression. State holes, vertical asymptotes, horizontal asymptotes, domain and range. 4.