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Unformatted text preview: Lesson 5 Rational expression: - a fraction with polynomials in the numerator and denominator (a quotient or ratio of polynomials) ¡¢£¤¡¥¦§¢ ¡¢£¤¡¥¦§¢ Domain: - set of numbers for which an expression is defined - because rational expressions are fractions, we must exclude numbers from a rational expression’s domain that make the polynomial in the denominator equal to zero We will discuss this further when we solve rational equations in Lesson 7. Simplifying rational expressions: 1. factor all the polynomials (if possible) 2. cancel common factors (if possible) A rational expression is simplified if its numerator and denominator have no common factors other ¨ or ©¨ Be sure to keep in mind that only common factors ( NOT TERMS) are cancelled. Example 1: List all numbers that must be excluded from the domain, then simplify a. ¡ ¢£ ¡ ¢¤ b. ¡ ¥¦ ¥§ ¡ ¢§ c. ¦ ¡ ¥¤ ¢¨ £ ¡ ¥§© ¥§ª Example 2: Multiply, divide, add or subtract the following fractions a....
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