f(x) is completely reducible if f (x^{2011}) is also
Source: 10th QEDMO p5 Seniors (8-10. 12. 2011) https://artofproblemsolving.com/community/c1512515_qedmo_200507
May 16, 2021
polynomialalgebra
Problem Statement
A polynomial with real coefficients is called completely reducible if it is a product of at least two non-constant polynomials whose coefficientsare all nonnegative real numbers. Show: If is completely reducible, then is also.