An equation of the form ax2+ bx + c = 0, where a, b, c are real numbers and a ≠ 0, is called a quadratic equation in x.
Any equation of the form p(x) = 0, where p(x) is polynomial of degree 2, is a quadratic equation.
But when we write the terms of p(x) in descending order of their degrees, then we get the standard form of the equation.
That is, , standard form of a quadratic equation and
That is, ax2+ bx + c = 0, a ≠ 0 is called the standard form of a quadratic equation and
y = ax2+ bx + c is called a quadratic function.