Find the HCF

The HCF of x8-1 and x4+2x3-2x-1 is

  1. x-1
  2. x2-1
  3. x+1
  4. x2+1
Monis Rasool Professor Asked on 30th August 2015 in Maths.
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1 Answer(s)

Answer : (2) x2-1

Explanation : –
Put the x = 1  and x = – 1
Then, The value of x8-1 is 0.
and the value of  x4+2x3-2x-1 is 0.
Then, the H C F of x8-1  and  x4+2x3-2x-1 is 0 is (x + 1) (x – 1).
Or  (x + 1) (x – 1) =  x2-1.

Hence, the answer is (2)  x2-1.

Anurag Mishra Professor Answered on 31st August 2015.
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