Polynomial Proof: Verification & Correction

In summary, a polynomial proof is a method used to verify the correctness of a polynomial equation using logical steps and techniques. It is performed through algebraic manipulations and logical reasoning, with the purpose of ensuring accuracy and validity of the equation. However, a polynomial proof can be incorrect if there are flaws in the steps and reasoning used, so it is important to carefully check for errors in algebraic manipulations, reasoning, assumptions, calculations, and the initial equation itself.
  • #1
Joe20
53
1
I would like to have verification if the following attached proof is correct. If it is not correct, what can be done to make it correct? Thanks.
 

Attachments

  • pp.png
    pp.png
    15.4 KB · Views: 64
Physics news on Phys.org
  • #2
Alexis87 said:
I would like to have verification if the following attached proof is correct. If it is not correct, what can be done to make it correct? Thanks.

Hi Alexis87,

It looks all correct to me.
For clarity I would just add a final sentence saying that therefore f(x+c) is reducible, which is a contradiction.
 

FAQ: Polynomial Proof: Verification & Correction

1. What is a polynomial proof?

A polynomial proof is a mathematical method used to verify the correctness of a polynomial equation. This involves using logical steps and techniques to demonstrate that a given polynomial equation is true.

2. How is a polynomial proof performed?

A polynomial proof is typically performed using algebraic manipulations and logical reasoning. This may include factoring, substitution, and other methods to show that both sides of the equation are equal.

3. What is the purpose of a polynomial proof?

The purpose of a polynomial proof is to ensure the accuracy and validity of a polynomial equation. This is important in various fields of mathematics and science, as it allows for the use of these equations in further calculations and proofs.

4. Can a polynomial proof be incorrect?

Yes, a polynomial proof can be incorrect if the steps and reasoning used are flawed. It is important to carefully check and verify each step in the proof to ensure its accuracy.

5. What are common errors to look out for in a polynomial proof?

Common errors in a polynomial proof may include incorrect algebraic manipulations, faulty reasoning or assumptions, and mistakes in calculations. It is also important to watch out for errors in the initial equation itself, such as missing terms or incorrect coefficients.

Similar threads

Back
Top