Concepts inA Machine Method for Solving Polynomial Equations
Algebraic equation
In mathematics, an algebraic equation, also called polynomial equation over a given field is an equation of the form where P and Q are polynomials over that field. For example is an algebraic equation over the rationals. Two equations are equivalent if they have the same set of solutions. In particular the equation is equivalent with . It follows that the study of algebraic equations is equivalent to the study of polynomials.
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Polynomial
In mathematics, a polynomial is an expression of finite length constructed from variables and constants, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents. For example, x ¿ x/4 + 7 is a polynomial, but x ¿ 4/x + 7x is not, because its second term involves division by the variable x (4/x), and also because its third term contains an exponent that is not an integer (3/2).
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