Question

The polynomial f(x)=x-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-2).​

Answer 1

(-5)

Step-by-step explanation:

after putting 1 in equation f(x)

b-a=3

after putting (-1) in equation f(x)

b+a=15

after solving

a=6

b=9

then f(2)=(-5)