Quadratic Equations as Polynomial

Before we learn about quadratic equations as polynomial let's try to analyze about .... Is quadratic equation a polynomial?! Let's derive..
An expression of the form

in which a_i are numbers belonging to some number system and 'n' is a non-negative integer, is called a polynomial.
a_i are called the coefficients of if a_o ≠ 0, the polynomial is said to be of degree n.
Value of the Quadratic Polynomial -

If x is replaced by a number from a number system to which a_i belong, we get a number called a value of a quadratic polynomial..

Notation of any polynomials or quadratic polynomial -

Usually a polynomial is denoted by P(x) and if k is any number then P(k) denotes the value of P(x) at x=k. Then a polynomial can be used to define a function with x or y or any letter of the alphabet. The coefficient of the polynomial may belong to any system of numbers.