Hey guys, this is a question which Slide Rule passed on to me. It's not very difficult but I found it interesting for some reason so I thought I'd share it:
Show that the remainder when the polynomial P(x) is divided by (x - a)<sup>2</sup> is P'(a)x + P(a) - a.P'(a)
Show that the remainder when the polynomial P(x) is divided by (x - a)<sup>2</sup> is P'(a)x + P(a) - a.P'(a)