Question

if x^75+32 is divided by x+1,the remainder is?


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Answer 1

Answer:

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Answer 2

Answer:

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If x⁷⁵ + 32 is divided by x + 1, the remainder is?

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Remainder Theorem : Let p(x) be any polynomial of degree ≥ 1 and let a be any real number. If p(x) is divided by the linear polynomial x - a, then the remainder is p(a).

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$\sf \: p(x) = x ^{75} + 32$

$\sf \: g(x) = x + 1$

$\sf \: ∴ \: x \: = - 1$

$\sf \: p( - 1) = ( - 1)^{75} + 32$

$\sf \: \: \: \: \: \: \: \: \: \: \: \: \: = - 1 + 32$

$\sf \: \: \: \: \: \: \: \: \: \: \: \: = 31$

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