11. Symmetric polynomials also form an interesting structure by themselves, independently of any relation to the roots of a polynomial . 12. The actual value is a root of a polynomial of degree 10 ( which cannot be resolved by radicals ). 13. The problem is that is not algebraic ( it is not a root of a polynomial equation with rational coefficients ). 14. In 1970, Russian mathematician Yuri Matiyasevich showed that integer roots of a polynomial in any number of variables with integer coefficients. 15. Given p, a prime, I am concerned with finding the roots of a polynomial f ( x ) mod p. 16. However, root-finding algorithms may be used to find numerical approximations of the roots of a polynomial expression of any degree. 17. For example, a bound due to Cauchy says that all real roots of a polynomial with coefficients are in the interval, where 18. We need only think of the set of roots of a polynomial f ( x ) or the spectrum of a linear operator ." 19. In 1867 the Austrian engineer Eduard Lill published a graphical method to determine the roots of a polynomial ( Lill's method ). 20. In this way, sometimes all the roots of a polynomial of degree greater than four can be obtained, even though that is not always possible.
