## Polynomials

Solving Quadratics: The Quadratic Formula

Polynomials

Many quadratics cannot be easily solved by factorisation, and completing the square is a rather long and tedious process. Hence, a quadratic formula has been developed to assist with finding the solutions to any quadratic that has been given in unfactored form.

If \[ax^{2}+bx+c=0, a\neq 0\] Then \[x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}\]

If \[ax^{2}+bx+c=0, a\neq 0\] Then \[x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}\]