1.

Find the remainder , when p(x) = x^31 + 31 is divided by x + 1.

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Let p(x) = x ^31 + 31.

Divisor = x + 1

By remainder theorem,

we have Remainder

p(−1) = (−1)^ 31 + 31 = −1 + 31 = 30

Thus, the remainder when (x 31 + 31) is DIVIDED by (x + 1 )



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