A juicy Maths problem

September 13, 2008

This was set by Dr Leversha (who else?):

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…