Question

find the remainder when x³+3x²+3x +divided by x+1



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Answer 1

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Answer 2

✾ Correct question : Find the remainder when x³ + 3x² + 3x + 1 is divided by x + 1.

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✾ Zero of x + 1 is :

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$\implies$ x + 1 = 0

$\implies$ x = – 1

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✾ Now, substituting x = – 1 in the polynomial and finding the remainder :

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$\implies$ x³ + 3x² + 3x + 1

$\implies$ (– 1)³ + 3 (– 1)² + 3 (– 1) + 1

$\implies$ – 1 + 3 (1) – 3 + 1

$\implies$ 3 – 3 – 1 + 1

$\implies$ 0

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✾ Therefore, the remainder when x³ + 3x² + 3x + 1 is divided by x + 1 is 0.