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.
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