11. The theorems are statements about the solutions of the following system of polynomial equations 12. He also developed the concept of a quintic and higher-order polynomial equations using numerical methods. 13. The "'resultant "'of two polynomials with bivariate polynomial equation . 14. Many other combinations of constraints are possible for these and for higher order polynomial equations . 15. The quadratic equation only contains second degree polynomial equation since the greatest power is two. 16. Complex numbers thus form an algebraically closed field, where any polynomial equation has a root. 17. Algebraic geometry examines the use of polynomial equations . 18. Algebraic geometry is the study of the solutions in an algebraically closed field of multivariate polynomial equations . 19. He also offered, without proof, a rule to determine the number of imaginary roots of polynomial equations . 20. The transform turns integral equations and differential equations to polynomial equations , which are much easier to solve.
