Angel Blues

Already lost 5 points... Urrrgh!!
 
Application 1.) Dividing P(x) = x⁵ + Ax⁴ + Bx³ + Cx² + Dx + E  by (x-1), (x-2), (x+3), (x+4) leaves a zero remainder. Dividing the same polynomial to any expression in the form (x-r) results to a nonzero remainder. Find all the possible values of P(-2). (someting like that)

This really was just an easy problem. You don't have to solve (I did) 'coz she didn't ask us to find the EXACT value of P(-2). All you have to say (and the answer) is P(-2) can be any complex number EXCEPT 0.

Darn it!!! I just realized it this morning. I don't know why I was thinking of that math problem. It just really hit me. First, I was thinking of something else (or rather a someone), thenI just suddenly told myself that that was the answer and that I was wrong and that I lost 5 points already. I was really planning on getting  a perfect score (she pressured me, people)

DAMN!!!!

*I'm sorry. I can't get over Math that easily. It's my first love (Maybe right now, you're thinking that I'm a geek - but I AM NOT!!). Math is the only thing wherein I can get a concrete answer for Math, everything has a reason and that's just what I believe in.