Question

The polynomial f(x)= x4
– 2x3
+3x2
– ax + b when divided by (x – 1) and (x + 1) leaves the
remainders 5 and 19 respectively. Find the values of a and b. Hence, find the remainder when
f(x) is divided by (x – 3)

Answer 1

a=11. b=12.
when f(x) is divided by (x-3) the remainder will be -9