Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. x2 - 3x + 2 4x3 + 7x2

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.4: Partial Fractions
Problem 2SE: Can you explain why a partial fraction decomposition is unique? (Hint: Think about it as a system of...
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Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants.
x2 - 3x + 2
4x3 + 7x2
Step 1
The degree of the numerator is less than
less than the degree of denominator.
x2 - 3x + 2
4x3 + 7x2
So, the rational expression
is proper
proper
Step 2
The expression is proper, so factor the denominator.
4x3 + 7x2
4x + 7
Transcribed Image Text:Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. x2 - 3x + 2 4x3 + 7x2 Step 1 The degree of the numerator is less than less than the degree of denominator. x2 - 3x + 2 4x3 + 7x2 So, the rational expression is proper proper Step 2 The expression is proper, so factor the denominator. 4x3 + 7x2 4x + 7
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