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Polynomial Expressions

If n is an in...

Question

If n is an integer, what is the remainder when $5 x^{2 n + 1} - 10 x^{2 n} + 3 x^{2 n - 1} + 5$ is divided by x + 1?

A

0

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B

2

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C

4

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D

-8

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E

-13

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Solution

The correct option is E -13
Given that the equation is divided by $x + 1$
Substitute $x = - 1$ in given equation , then we will get the remainder
Therefore the remainder is $- 5 - 10 - 3 + 5 = - 13$

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