When a polynomial p (x) is divided by (x-1), the remainder is 5, and when it is divided by (x-2), the remainder is 7. Find the remainder when f (x) is divided by (x-1)(x-2)
The polynomial x4 - 2x3 + 3x2 - ax + b when divided by (x+1) and (x-1) gives remainders 19 and 5 respectively. Find the remainder when the polynomial is divided by (x-3).