if x^151 +149 is divided by (x-1) find the remainder
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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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