Question

When a polynomial 2X3 + 3X2 + aX + b is divided by (x-2) leaves remainder 2, and (x-2) leaves remainder -2.find a and b.

Answer 1

The polynomial f(x) =ax2-2x3+3x2-ax+b when divided by (x-1) and (x+1) leaves remainder 5 and 19 respectively. Find the values of a and b.Hence, find the remainder when f(x) is divided by x-2.