Polynomial
An algebraic expression that is the sum of one or more terms (or monomials)
A polynomial is a mathematical expression consisting of variables (also known as indeterminates) and coefficients, combined by operations of addition, subtraction, multiplication, and nonnegative integer exponents. In simpler terms, it is an expression made up of a finite number of terms involving only addition, subtraction and multiplication operations, where each term is a constant, a variable or a product of constants and variables raised to non-negative integer powers.
For example, 2x^3 + 4x^2 – 5x + 7 is a polynomial, where 2, 4, -5 and 7 are the coefficients, x is the variable, and 3, 2, 1 and 0 are the exponents of the variable.
The degree of a polynomial is the highest power of the variable in the polynomial expression. In the example above, the degree of the polynomial is 3, since it is the highest power of x.
Polynomials have many applications in mathematics and science, such as in algebraic geometry, calculus, and physics. They are used to model many real-world phenomena and to solve a variety of problems in different fields.
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