MathDB
Problem 13, Fall 2003 , MS and HS

Source:

June 23, 2011
algebrapolynomialfunctionquadratics

Problem Statement

Let P(x)P(x) be a polynomial such that, when divided by x2x - 2, the remainder is 33 and, when divided by x3x - 3, the remainder is 22. If, when divided by (x2)(x3)(x - 2)(x - 3), the remainder is ax+bax + b, find a2+b2a^2 + b^2.