Mathematics
Find in each case, the remainder when :
x4 + 1 is divisible by x + 1.
Factorisation
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Answer
x + 1 = 0 ⇒ x = -1.
Required remainder = Value of given polynomial x4 + 1 at x = -1.
∴ Remainder = (-1)4 + 1
= 1 + 1
= 2.
Hence, remainder = 2.
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