Question

Q8 Q16.) Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants.

Answer 1

9x^2-2x+6
=9(x^2+8)-9*8-2x+6
=9(x^2+8)-2x-66
=9(x^2+8)-2(x-5)-76

so ans is A

Answer 2

Answer is (A). For a term with an irreducible $n$-degree polynomial in the denominator, its numerator must have at most a polynomial of degree $n-1$.