Answer Happy

The following question was given on a Calculus quiz: "Set up the partial fraction decomposition with indeterminate coefficients for the rational function (Set up only; do not solve for the coefficients, and do not integrate." "1 3x+17 (x-3)(x²+49) A student gave the following answer to this question: B " 3x+17 (x-3)(x²+49) = . + x-3 x²+49 Explain why this is an incorrect partial fraction decomposition for this rational function.