(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let f(x)=x^{5}-x^{2}-1 [tex]\in[/tex] C and x_{1},...,x_{5}are the roots of f over C. Find the value of the symmetric function:

(2x_{1}-x_{1}^{4}).(2x_{2}-x_{2}^{4})...(2x_{5}-x_{5}^{4})

2. Relevant equations

I think, that I have to use the Viete's formulas and Newton's Binomial Theorem.

3. The attempt at a solution

Unfortunately I can't solve the equation to the end. I will appreciate any help. Thank you :)

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Abstract Algebra: Polynomials problem

**Physics Forums | Science Articles, Homework Help, Discussion**