x3 x² + 4x +3 Example: ₁ dx

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.4: Partial Fractions
Problem 1SE: Can any quotient of polynomials be decomposed into at least two partial fractions? If so, explain...
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For each factor of the form (px +q)", the partial fraction decomposition must include
the following sum of m fractions:
B₁x + C₁
ax²+bx+c
A₁
+
px + q
Example: 1.
A₂
(px +q)²
x3
- dx
x² + 4x +3
+
For each factor of the form (ax² + bx + c)", the partial fraction decomposition must
include the following sum of m fractions:
B₂x + C₂
+
+
(ax² + bx + c)²
A3
Am
(px +q)³ (px +q)m
+
...
B3x + C3
Bnx + Cn
(ax² + bx + c)³ (ax²+bx+c)n
+
...
9
Transcribed Image Text:For each factor of the form (px +q)", the partial fraction decomposition must include the following sum of m fractions: B₁x + C₁ ax²+bx+c A₁ + px + q Example: 1. A₂ (px +q)² x3 - dx x² + 4x +3 + For each factor of the form (ax² + bx + c)", the partial fraction decomposition must include the following sum of m fractions: B₂x + C₂ + + (ax² + bx + c)² A3 Am (px +q)³ (px +q)m + ... B3x + C3 Bnx + Cn (ax² + bx + c)³ (ax²+bx+c)n + ... 9
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