When the polynomial f(x) is divided by x – 3 the remainder is 17 and when the same polynomial is divided by x + 2 the remainder is -8. Find the remainder when f(x) is divided by x² – x – 6.

Nobody seems to have done it in my set, so here is what I think the answer is. I bet it’s wrong but hey…

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It’s funny, cos that’s actually wrong… :P

It is funny, but tragic at the same time. It seemed at the time rather neat…