Polynomials are one of the most frequently studied objects in mathematics. Polynomials are algebraic expressions that contain real numbers and variables. Division and square roots cannot be used in the variables. The variables can only consist of addition, subtraction and multiplication. A polynomial can either be zero or can be written as the sum of a fixed number of non-zero terms. Every term involves the product of a number which is called the coefficient of the term and a fixed number of indeterminates which will be raised to a nonnegative integer power. The exponent on an unknown term is called the degree of that indeterminate in that term; the degree of the term is the sum of the degrees of the indeterminates in that term, and the degree of a polynomial is the largest degree of any one term with nonzero coefficient. Since x = x1, the degree of an indeterminate short of a written proponent is one. A term with no indeterminates and a polynomial with no indeterminates are called, respectively, a constant term and a constant polynomial. The degree of a continual term and of a nonzero persistent polynomial is 0.


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