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Polynomial

  A polynomial is a type of algebraic expression that consists of one or more terms, where each term is the product of a constant coefficient and one or more variables raised to non-negative integer exponents. The general form of a polynomial is: � ( � ) = � � � � + � � − 1 � � − 1 + … + � 2 � 2 + � 1 � + � 0 P ( x ) = a n ​ x n + a n − 1 ​ x n − 1 + … + a 2 ​ x 2 + a 1 ​ x + a 0 ​ Here's what each component represents: � ( � ) P ( x ) : The polynomial function. � � , � � − 1 , … , � 2 , � 1 , � 0 a n ​ , a n − 1 ​ , … , a 2 ​ , a 1 ​ , a 0 ​ : Coefficients. These are constants that multiply the corresponding terms. � x : The variable. � n : The highest non-negative integer exponent in the polynomial, known as the degree of the polynomial. For example, 2 � 3 − 3 � 2 + 5 � − 1 2 x 3 − 3 x 2 + 5 x − 1 is a polynomial of degree 3 because the highest exponent is 3, and it consists of four terms with coefficients 2, -3, 5, and -1. Polynomials are essential in algebra and mathematics, ...