Quadratic polynomials


A polynomial of the form

 f(x) = ax2 + bx + c where a ≠ 0

a,b,c ∈ R

and x is a real variable is called Quadratic polynomial.

 e.g., f(x) = 2x2 + 3x + 1 ; f(x) = 4x2 − 5, etc.

Quadratic equation

If f(x) is a quadratic polynomial then f(x) = 0 is called a quadratic equation.

The general form of quadratic equation is

 f(x) = ax2 + bx + c where a ≠ 0 a,b,c ∈ R

 

Roots of a Quadratic equation:

The values of variable satisfying the given quadratic equation are called the roots or the solution of the given equation.

Methods to find the roots of a quadratic equation

(i) Factorisation Method

(ii) Completion of Square Method

(iii) Discriminant Method