1.

If x51 + 51 is divided by x + 1, then the remainder is(a) 0(b)(c) 49(d) 50

Answer»

(d) 50 

Let p(x) = x51 + 51 . …(i)

When we divide p(x) by x+1, we get the remainder p(-1)

On putting x= -1 in Eq. (i), we get 

p(-1) = (-1)51 + 51

= -1 + 51 

= 50

Hence, the remainder is 50.


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