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. [3 MARKS]

The polynomial x4−2x3+3x2−ax+b when divided by x+1 and x−1 gives

1.	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. [3 MARKS]
Answer» The polynomial $x^{4} - {2 x}^{3} + {3 x}^{2} - a x + b$ when divided by $x + 1$ and $x - 1$ gives remainders 19 and 5 respectively. Find the remainder when the polynomial is divided by $x - 3$ . [3 MARKS]