Question

Find the remainder when x⁶⁴ + 64 is divided by x + 1

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Answer 1

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Step-by-step explanation:

The zero of the polynomial x+1 is given by

x + 1 =0

x = - 1

If we take P(x) = x⁶⁴ + 64

Then by Remainder Theorem the required Remainder is

P(-1)= (-1)^64+64 = 1+64= 65