31. Where " f " is a polynomial equation and " I " is a conjunction of polynomial equations. 32. I have submitted my paper on General Reducibility and Solvability of all polynomial equations to a maths journal. 33. These provide a dramatic increase in the speed of resultant calculations with systems of polynomial equations that exhibit symmetry. 34. Algebra studies two main families of equations : polynomial equations and, among them the special case of linear equations. 35. The concept of a group arose from the study of polynomial equations , starting with �variste Galois in the 1830s. 36. Permutations had themselves been intensively studied by Lagrange in 1770 in his work on the algebraic solutions of polynomial equations . 37. In fact, the complex solution set of a polynomial equation in two complex variables can never have an isolated point. 38. In solving polynomial equations , we may be able to factor the polynomial in to linear factors and solve each one. 39. A polynomial equation for which one is interested only in the solutions which are integers is called a Diophantine equation. 40. The problem is that is not algebraic ( it is not a root of a polynomial equation with rational coefficients ).
