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

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Homework Help Overview

The discussion revolves around a polynomial expression P(x) = anxn + an-1xn-1 + ... + 90, with participants seeking clarification on what needs to be proven, particularly in relation to the Fundamental Theorem of Algebra (FTA).

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants express confusion regarding the original question and the nature of the proof required. Some seek clarification on whether the polynomial is meant to be defined or proven in relation to the FTA. Others question the meaning of the constant term '90' and suggest it might be a misinterpretation of a standard polynomial form.

Discussion Status

The discussion is ongoing, with participants attempting to clarify the original poster's intent. Some have suggested that the polynomial itself does not present a provable statement, while others are exploring the implications of the FTA in this context.

Contextual Notes

There is uncertainty regarding the requirements of the assignment, as the original poster mentions it was given to them to compensate for a missed test. The lack of clear instructions or context adds to the confusion among participants.

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

Homework Statement


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

Homework Equations


1

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.
 
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I have no idea what you are trying to prove. Can you state the original question?
 


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!
 


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?
 


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
 


I don't think anyone would know where to start. I really think you misunderstood the question. You might ask for clarification.
 


ohh well could some one help me prove that Z=a+bi exists?
 


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.
 


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.
 
  • #10


'...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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