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Question
If ( x31 + 31) is divided by (x + 1) then find the remainder.
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Solution
Let p(x) = x31 + 31.
Divisor = x + 1
∴ Let x = −1
By remainder theorem
Remainder = p(−1)
= (−1)31 + 31
= −1 + 31
= 30
Thus, the remainder when (x31 + 31) is divided by (x + 1) is 30.
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