A polynomial is an algebraic expression that contains one or more terms with non-negative integer exponents on the variables. A polynomial can have one or more variables, and the coefficients of the terms can be any real number. The highest degree of the variable in a polynomial is called its degree. Polynomials are widely used in mathematics to solve various problems in algebra, calculus, and other areas of mathematics. They also have applications in physics, engineering, and other fields of science. There are different types of polynomials, such as linear, quadratic, cubic, and higher order polynomials. The factorization of polynomials involves expressing them as a product of their corresponding factors. The roots of a polynomial equation are the values of the variable that make the polynomial equal to zero. Polynomial interpolation is a technique used to estimate the values of a function by fitting a polynomial of a certain degree through a set of data points.
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