Question: Suppose that Q(x) = (x a)(x b), where a b, and let P/Q be a proper rational function so that (a) Show

Suppose that Q(x) = (x − a)(x − b), where a ≠ b, and let P/Q be a proper rational function so that

P(x) Q(x) A (x-a) + B (x-b)

(a) Show that A = P(a) Q'(a) and B= P(b) Q' (b)

(b) Use this result to find the partial fraction decomposition for P(x) = 3x − 2 and Q(x) = x2 − 4x − 12.

P(x) Q(x) A (x-a) + B (x-b)

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