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Chapter 2: Polynomials, Power, and Rational Functions

Chapter 2: Polynomials, Power, and Rational Functions. 2.7: Solving Equations in One Variable. For what values is the rational expression defined? Simplify the rational expression: Multiply: Add:. Warm Up. Example 1: Example 2:. Cancel the Denominator. Example 3:

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Chapter 2: Polynomials, Power, and Rational Functions

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  1. Chapter 2: Polynomials, Power, and Rational Functions 2.7: Solving Equations in One Variable

  2. For what values is the rational expression defined? • Simplify the rational expression: • Multiply: • Add: Warm Up

  3. Example 1: • Example 2: Cancel the Denominator

  4. Example 3: Multiply both sides by both denominators. Create a Common Denominator

  5. Values you get when you solve for x that are NOT IN THE DOMAIN of the function. • In Example 3, what is the domain of f? • Which of the values for x are extraneous solutions? Extraneous Solutions

  6. 2. Practice Problems: Solve each equation, and identify any extraneous solutions.

  7. 3. 4. Practice Problems: Solve each equation, and identify any extraneous solutions.

  8. 2.7 #1-13 odd, 19, 23 Homework

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