मराठी

Find the remainder when x4 + 1 is divided by x + 1. - Mathematics

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प्रश्न

Find the remainder when x4 + 1 is divided by x + 1.

बेरीज
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उत्तर

By remainder theorem we know that when a polynomial f(x) is divided by x – a, then the remainder is f(a). 

f(x) = x4 + 1 

Remainder = f(–1)

= (–1)4 + 1

= 1 + 1

= 2

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