Question

Choose the correct form of the partial fraction decomposition of the given rational expression with the unknown constants A, B, C, etc.

Answer 1

The denominator of the rational expression is already in the factored form, and each factor is a 1st degree polynomial.

So we can create fractions using each 1st degree factor.

Since the denominators of each partial fraction have degree 1, the numerators should have degree 0, which is only a constant value.

So the correct representation would be:

`(11x-10)/((x-6)(x+7))=(A)/(x-6)+(B)/(x+7)`

Correct option: C.