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B Basic Challenge of the Week #1 03/19/2017

  1. Mar 3, 2017 #1
    place holder
     
  2. jcsd
  3. Mar 3, 2017 #2

    QuantumQuest

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    Gold Member

    Prove that if ##P(x), Q(x), R(x)## and ##S(x)## are all polynomials such that ##P(x^{5}) + xQ(x^{5}) + x^{2}R(x^{5}) = (x^{4} + x^{3} + x^{2} + x + 1)S(x)##, ##x - 1## is factor of ##P(x)##.
     
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