Question

Write out the form of the partial fraction decomposition of the function x3 x2 1 x(x 2 + x + l)(2 1)3 SOLUTION x3 +x2 +1 x(x 1(r2 + x + )(2)

Answer 1

The decomposition is as shown in the attachment below

Explanation:

Where A, B, C, D, E, F, G, H, I, J are numerical value of the coefficients that can be determined by method of comparing coefficients. Hence , there are two methods for solving partial fractions ; Cover up method and method of comparing coefficients.

The form of the partial fraction decomposition is as shown in the attachment.