Question

If x^51+x is divisible by x+1, then find remainder

Answer 1

d) 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. 

Answer 2

x+1=0
x=-1
so now placing the value of x we get
(-1)^51+(-1)
-1-1=-2
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