Question

If f(x) is divided by (x − 97) then remainder is

(a) 0 (b) 97 (c) 1 (d) f(97)
​

Answer 1

Answer:

Here, p(x)=x

100

−x

97

+x

3

, and the zero of x+1 is −1

So, p(−1)=(−1)

100

−(−1)

97

+(−1)

3

=1+1−1

=1

So, by the Remainder Theorem 1 is the remainder when x

100

−x

97

+x

3

is divided by x+1.