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  • If x^{51}+51 is divided by x+1 , the remainder is (A) 0 (B) 1 (C) 49 (D) 50

If x^{51}+51  is divided by x+1 , the remainder is

(A) 0                          

(B) 1                           

(C) 49                         

(D) 50 

Answers (1)

(D) 50   

Solution:

In this question, we can use remainder theorem.

 According to the remainder theorem when p(x) is divided by (x+a)  then the remainder is p(-a) .

 \therefore  If x^{51}+51  is divided by (x+1)  then the remainder is p(-1)

p(-1)=(-1)^{51}+51\\ p(-1)=-1+51\\ p(-1)=50

Hence the remainder is 50

Hence option (D) is correct.

Posted by

infoexpert24

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