Question

Write out the form of the partial fraction decomposition of the function (see example). Do not determine the numerical values of the coefficients. (a) x^3/x2 + 6x + 5 (b) 2x + 1/(x + 1)3(x2 + 9)2

Name: write out the form of the partial fraction decomposition of the function see example do not determine the numerical values of the coefficients a x3x2 6x 5 b 2x 1x 13x2 92 01752
Uploaded: 2023-03-20T18:30:46-08:00
Duration: 1 min 23 s
Channel: Andrew Noble
Description: write out the form of the partial fraction decomposition of the function see example do not determine the numerical values of the coefficients a x3x2 6x 5 b 2x 1x 13x2 92 01752

          Write out the form of the partial fraction decomposition of the
function (see example). Do not determine the numerical values of
the coefficients.
(a) 
x^3/x2 + 6x + 5
(b)    
2x + 1/(x +
1)3(x2 + 9)2

Added by Sarah J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Andrew Noble

03/20/2023

Step 1

Since the degree of the numerator is equal to the degree of the denominator, we perform long division to get a proper fraction. After long division, we get $x - 4 + \frac{16x + 15}{(x+1)(x+5)}$. Now, we can write the partial fraction decomposition Show more…

Show all steps

Thanks for your feedback!

Write out the form of the partial fraction decomposition of the function (see example). Do not determine the numerical values of the coefficients. (a) x^3/x2 + 6x + 5 (b) 2x + 1/(x + 1)3(x2 + 9)2