If $x^{51} + 51$ is divided by $x + 1$ , then the remainder is

0

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1

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49

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50

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Solution

The correct option is D $50$
By remainder theorem,
Remainder $= p (- 1)$ , since the divisor is $x + 1$
$p (x) = x^{51} + 51$
$p (- 1) = (- 1)^{51} + 51 = - 1 + 51$
Hence, the remainder is $50$

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Similar questions

If $x^{51}$ +51 is divided by x + 1, the remainder is

If $(x^{51} + 51)$ is divided by (x+1) then the remainder is
(a) 0
(b) 1
(c) 49
(d) 50

x^{51} + 51

x^{51} + 51

Find the remainder when $x^{51} + 51$ is divided by (x+1).

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