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Warm-Up 4/2

Warm-Up 4/2. 1. H. Rigor: You will learn how to write partial fraction decompositions of rational expressions. Relevance: You will be able to use partial fraction decompositions of rational expression to solve real world problems. . 6-4a Partial Fractions.

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Warm-Up 4/2

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  1. Warm-Up 4/2 1. H

  2. Rigor:You will learn how to write partial fraction decompositions of rational expressions. Relevance:You will be able to use partial fraction decompositions of rational expression to solve real world problems.

  3. 6-4a Partial Fractions

  4. Partial Fraction is each fraction in the sum. Partial Fraction Decomposition the sum of these partial fractions.

  5. Steps to Partial Fraction Decomposition • When there are Nonrepeated Linear Factors in the denominator • When the degree of the numerator is greater than or equal to the degree of the denominator • If the degree of the numerator is greater than or equal to the degree of the denominator you must use long division first to rewrite the expression. • Factor the denominator and rewrite fraction as partial fractions with constant numerators, A and B, and the linear factors as denominators. • Multiply the equation by the Least Common Denominator. • Group like terms. • Write the linear system of equations and solve the system for A and B. • Then substitute in the values for A and B.

  6. Example 1: Find the partial fraction decomposition. LCD:

  7. Example 2: Find the partial fraction decomposition. LCD:

  8. math! • 6-4a Assignment: TX p402, 2-12 even

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