Write the partial fraction decomposition of the rational expression. Check your result algebraically. x2 - 10x + 13 (x + 1)(x2 – 2x + 3) Step 1 The given rational expression is proper and the denominator is factored. Recall that the partial fraction decomposition must include one partial fraction with a constant numerator for the linear factor and one partial fraction with a linear numerator for the quadratic factor

College Algebra
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ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.4: Partial Fractions
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Write the partial fraction decomposition of the rational expression. Check your result algebraically.
x2 - 10x + 13
(x + 1)(x2 – 2x + 3)
Step 1
The given rational expression is proper and the denominator is factored.
Recall that the partial fraction decomposition must include one partial fraction with a constant numerator for
the linear factor
and one partial fraction with a linear numerator for the quadratic factor
Write the decomposition.
A
Bx + C
x2 - 10x + 13
(x + 1)(x2 – 2x + 3)
x +1
2
- 2x + 3
-
Transcribed Image Text:Write the partial fraction decomposition of the rational expression. Check your result algebraically. x2 - 10x + 13 (x + 1)(x2 – 2x + 3) Step 1 The given rational expression is proper and the denominator is factored. Recall that the partial fraction decomposition must include one partial fraction with a constant numerator for the linear factor and one partial fraction with a linear numerator for the quadratic factor Write the decomposition. A Bx + C x2 - 10x + 13 (x + 1)(x2 – 2x + 3) x +1 2 - 2x + 3 -
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