Question

Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. 37 x2 − 6x

Answer 1

`(A)/(x)+(B)/(x-6)`

Explanation:

Given the function
`(37)/(x(x-6))`, to write the form of its partial fraction on decomposition, we will separate the two functions separated by an addition sign. The numerator of each function will be constants A and b and the denominator will be the individual factors of each function at the denominator. The partial fraction of the rational function is as shown below.

`= (37)/(x(x-6))\\\\= (A)/(x)+(B)/(x-6)`

Since we are not to solve for the constants, hence the partial fraction is
`(A)/(x)+(B)/(x-6)`