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

[Daniel Monroy]

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.

 

[Dick]

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

 

[Daniel Monroy]

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!

 

[Dick]

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?

 

[Daniel Monroy]

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

 

[Dick]

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

 

[Daniel Monroy]

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

 

[HallsofIvy]

We finally figured out that you meant
$$P(x)= a_nx^n+ a_{n-1}x^{n-1}+ \cdot\cdot\cdot+ 90$$
but that simply defines a polynomial. It doesn't say anything about the polynomial so there is nothing to be proved.

 

[Mark44]

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) = a_nxⁿ + a_n-1x^n-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.

 

[Dick]

'...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.