Question

Solve this by reminder theorem ​

Answer 1

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(X^51 + 51) ÷ (x + 1)

From Remainder Theorem -

x + 1 = 0

x = -1

So , (-1)^51 + 51

=> -1 + 51

=> 50

The Remainder is 50 .

Answer 2

Answer:

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$p(x) = {x}^{51} + 51 \: \: and \: \: g(x) = x + 1$

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$g(x) = 0$

$x + 1 = 0$

$x = - 1$

$p( - 1) = {( - 1)}^{51} + 51$

$= \: \: - 1 + 51$

$\: = \: \: 50$

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