If (x – 1) and (x + 1) are two factors of the polynomial x 6 – 1, then its other factors are

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CollectorBabu · Accepted Answer

Correct Answer: (x 2 –x + 1), (x 2 + x + 1). Formula used – (x 3 +1) = (x+1)(x 2 -x+1) (x 3 -1) = (x-1)(x 2 +x+1) Calculation- X 6 -1 = (x 3 ) 2 – 1 (x 3 -1)(x 3 +1) (Using (a 2 -b 2 ) = (a+b)(a-b)) (x-1)(x 2 +x+1) (x+1)(x 2 -x+1) Hence the other factors are- (x 2 +x+1)(x 2 -x+1) Hence option C is correct answer.

If (x – 1) and (x + 1) are two factors of the polynomial x 6 – 1, then its other factors are

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