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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