What term(s) should appear in the partial fraction decomposition of a proper rational function with each of the following?a. A factor of x ? 3 in the denominator________________b. A factor of (x ? 4)3 in the denominator________________c. A factor of x2 +2x +6 in the denominator

Problem 3ESolution:-Step1a. A factor of x 3 in the denominator this term should appear in the partial fraction decomposition of a proper rational function.Step2b. A factor of in the denominator this terms should appear in the partial fraction decomposition of a proper rational function.Step3c. A factor of +2x +6 in the denominator this terms should appear in the partial fraction decomposition of a proper rational function.