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PROOF for: P(x) = anxn + an-1xn-1 + 90 HELP

  1. Dec 6, 2009 #1
    PROOF for: P(x) = anxn + an-1xn-1 + ... 90 HELP!!!

    1. The problem statement, all variables and given/known data
    P(x) = anxn + an-1xn-1 + ... +90

    2. Relevant equations
    1



    3. The attempt at a solution
    all day...nothing

    I need some guidence with this Proof. Google isn't helping much. I have no idea how to do this.
     
    Last edited: Dec 6, 2009
  2. jcsd
  3. Dec 6, 2009 #2

    Dick

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    Re: PROOF for: P(x) = anxn + an-1xn-1 + ... 90 HELP!!!

    I have no idea what you are trying to prove. Can you state the original question?
     
  4. Dec 6, 2009 #3
    Re: PROOF for: P(x) = anxn + an-1xn-1 + ... 90 HELP!!!

    I need a proof for

    P(x) = anxn + an-1xn-1 + ... +90

    related to the fundamental thorem of algebra

    if someone could give me wth a proof for the FTA it would be appreciated just as much!!
     
  5. Dec 6, 2009 #4

    Dick

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    Re: PROOF for: P(x) = anxn + an-1xn-1 + ... 90 HELP!!!

    Proofs of FTA you can find on-line. That doesn't change the fact that P(x) = anxn + an-1xn-1 + ... +90 is not a statement you can prove. Is it supposed to be definition of P(x) or what? What are you supposed to prove?
     
  6. Dec 6, 2009 #5
    Re: PROOF for: P(x) = anxn + an-1xn-1 + ... 90 HELP!!!

    I really don't know my proofessor just gave it to me to make up for a missed test what CAN you do with it?... cause i don't know where to start
     
  7. Dec 6, 2009 #6

    Dick

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    Re: PROOF for: P(x) = anxn + an-1xn-1 + ... 90 HELP!!!

    I don't think anyone would know where to start. I really think you misunderstood the question. You might ask for clarification.
     
  8. Dec 6, 2009 #7
    Re: PROOF for: P(x) = anxn + an-1xn-1 + ... 90 HELP!!!

    ohh well could some one help me prove that Z=a+bi exists?
     
  9. Dec 7, 2009 #8

    HallsofIvy

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    Re: PROOF for: P(x) = anxn + an-1xn-1 + ... 90 HELP!!!

    We finally figured out that you meant
    [tex]P(x)= a_nx^n+ a_{n-1}x^{n-1}+ \cdot\cdot\cdot+ 90[/tex]
    but that simply defines a polynomial. It doesn't say anything about the polynomial so there is nothing to be proved.
     
  10. Dec 7, 2009 #9

    Mark44

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    Re: PROOF for: P(x) = anxn + an-1xn-1 + ... 90 HELP!!!

    I think I finally understand what the OP is trying to say in this and the other thread he has started. Given the polynomial P(x) = anxn + an-1xn-1 + ... + 90, the FTA says that there exists at least one number z = a + bi such that P(z) = 0.

    The OP is extremely vague on what he needs to do, but I think he wants to prove the FTA for this polynomial.
     
  11. Dec 7, 2009 #10

    Dick

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    Re: PROOF for: P(x) = anxn + an-1xn-1 + ... 90 HELP!!!

    '...90'?? As long as we are playing guessing games, I'm going to take a guess that the '90' is a distorted reading of 'a0'. There's nothing special about that polynomial. The OP must want a general proof of the FTA.
     
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