The quadratic formula explained
The quadratic formula solves any equation in the form ax² + bx + c = 0, even when it cannot be factored neatly.
What is the discriminant?
The discriminant, b² - 4ac, tells you how many roots the quadratic has and whether they are real or complex.
How to factor quadratic equations
If the roots are simple integers, the equation can often be written as a product of two brackets.
Vertex form and parabolas
Vertex form shows the turning point of the parabola directly. If a is positive it opens upward; if a is negative it opens downward.