Question

Write out the form of the partial fraction decomposition of the function: determine the numerical values of the coefficients, and , where

Answer 1

To find the partial fraction decomposition of the given function, factor the denominator into linear factors and write the fraction in the form of partial fractions.

Step-by-step explanation:

To find the partial fraction decomposition of the given function, we need to factor the denominator into linear factors. In this case, the denominator has two distinct linear factors: (x + 3) and (x - 1). Therefore, we can write the fraction as:

The partial fraction decomposition of the function is:

rac{2}{x+3} + rac{1}{x-1}

The coefficients in the decomposition are:

a = 2 and b = 1