Question

Which one of the following statements is correct?

1 point

if x⁶ + 1 is divided by x + 1, then the remainder is -2

if x⁶ + 1 is divided by x – 1, then the remainder is 2

if x⁶ + 1 is divided by x + 1, then the remainder is 1

if x⁶ + 1 is divided by x – 1, then the remainder is -1

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Answer 1

Step-by-step explanation:

$\frac{ {x}^{6} + 1}{x - 1}$

$= {x}^{5} + {x}^{4} + {x}^{3} + {x}^{2} + x + 1 \: (remainder = 2)$

Hence Second Option is correct