Q. 15

# If *x*^{51}+51 is divide by *x+*1, the remainder is

A. 0

B. 1

C. 49

D. 50

Answer :

Let, f(x) = x^{51} + 51

Since, x + 1 is divided by f(x) so,

f (-1)= (-1)^{51} + 51

= - 1 + 51

= 50

Thus, remainder is 50

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