Need help Fp1 :/

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  1. bench's Avatar
    • Full Member
    • Posts: 132
    Need help Fp1 :/
    Hey, can someone help me with these 2 questions please.

    Given that x = i is a complex solution of the equation...
    http://www.edexcel.com/migrationdocu...e_20090617.pdf

    Question 1 and 2 please.
  2. sputum's Avatar
    • Adored and Respected Member
    • Posts: 425
    Re: Need help Fp1 :/
    Question 1 you should be able to get another solution from the one you've been given (and the nature of the equation and its coefficients)
    shouldn't be too bad from there
  3. BabyMaths's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,556
    Re: Need help Fp1 :/
    x^4+ 6x^3+ 26x^2+ 6x+ 25=0

    The coefficients are real so the complex roots come in conjugate pairs. If x=i is a root then so is x=-i.

    So we have two factors. (x+i)(x-i). The product of these two gives us a real quadratic factor. x^2+1.

    x^4+ 6x^3+ 26x^2+ 6x+ 25=(x^2+1)(.....)

    Can you find the other factors?
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