Explanation Procedure used: Add or Subtract Rational Numbers (Fraction) with unlike denominators: “1. Compute the LCD of the denominators. 2. Write fraction with the LCD as the denominator. 3. Add or subtract the numerators and write the result over the common denominator. 4. Write the result in lowest terms.” Finding the lowest common denominator ( LCD ) : “1. Find the prime factors of each denominator. 2. For each different prime factor that appears, note the highest power to which it is raised in any one of the denominators. 3. Form the product of all the different prime factors, each raised to the power found in step 2. This product is called the lowest common denominator.” Calculation: The given equation is x − 12 x 2 + x − 6 = A x + 3 + B x − 2 . The expression can be simplified as follows. x − 12 x 2 + x − 6 = A x + 3 + B x − 2 x − 12 x 2 − 2 x + 3 x − 6 = A x + 3 + B x − 2 x − 12 x ( x − 2 ) + 3 ( x − 2 ) = A x + 3 + B x − 2 x − 12 ( x + 3 ) ( x − 2 ) = A x + 3 + B x − 2 Mutliply the factor ( x + 3 ) ( x − 2 ) on both sides of the equation

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780135902912

Author: Allyn J. Washington

Publisher: PEARSON

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Chapter 6.7, Problem 65E

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The values of A and B if x−12x2+x−6=Ax+3+Bx−2.

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Chapter 6.7, Problem 63E

Chapter 6.7, Problem 66E

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Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

Ch. 6.1 - Prob. 1PE Ch. 6.1 - Prob. 2PE Ch. 6.1 - Prob. 3PE Ch. 6.1 - Prob. 4PE Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E

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The values of A and B if x − 12 x 2 + x − 6 = A x + 3 + B x − 2 .

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The values of A and B if x−12x2+x−6=Ax+3+Bx−2.

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