Write the partial fraction decomposition of the rational expression. X-12x+ 35 X (Simplify your answer. Use integers or fractions for any numbers in the expression.) -12x+35
Write the partial fraction decomposition of the rational expression. X-12x+ 35 X (Simplify your answer. Use integers or fractions for any numbers in the expression.) -12x+35
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Title: Partial Fraction Decomposition of a Rational Expression**
**Problem Statement:**
Write the partial fraction decomposition of the rational expression:
\[
\frac{x}{x^2 - 12x + 35}
\]
**Expression:**
\[
\frac{x}{x^2 - 12x + 35} = \boxed{ }
\]
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
**Instructions:**
To solve this problem, factor the quadratic expression in the denominator and express the rational expression as a sum of simpler fractions. Use integers or fractions to represent the numbers in your final answer.
**Additional Information:**
Explore techniques such as factoring the denominator and setting up equations to find coefficients for the partial fractions to simplify the expression.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29ad9625-8bb4-4466-8385-f817dba6df9d%2Fbcc0ddc6-dcab-4327-b9bd-55e3d7740444%2Fwlby87a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Partial Fraction Decomposition of a Rational Expression**
**Problem Statement:**
Write the partial fraction decomposition of the rational expression:
\[
\frac{x}{x^2 - 12x + 35}
\]
**Expression:**
\[
\frac{x}{x^2 - 12x + 35} = \boxed{ }
\]
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
**Instructions:**
To solve this problem, factor the quadratic expression in the denominator and express the rational expression as a sum of simpler fractions. Use integers or fractions to represent the numbers in your final answer.
**Additional Information:**
Explore techniques such as factoring the denominator and setting up equations to find coefficients for the partial fractions to simplify the expression.
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