What is the remainder when \( x^{5}\) - \( 5x^{2}\) + \( 125\) is divided by\( x\)+\( 5\)?
Correct Answer: Description for Correct answer:
In order to find the remainder when \( \Large x^{5} - 5x^{2} + 125 \) is divided by x + 5,
Put x = -5 in equation \( \Large x^{5} - 5x^{2} + 125 \)
i.e., Remainder = \( \Large (-5)^{2} - 5(-5)^{2} + 125 \)
= - 3125 - 125 + 125
= - 3125
Option (C)is correct.
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