Quadratic Equations Worksheet Generator
On the easy and medium settings every quadratic factors over the integers, so students can solve by factoring. On hard the generator forces a positive non-square discriminant, so the quadratic formula is required and the roots come out in surd form.
Frequently asked questions
Why integer roots on easy?
Easy and medium are aimed at the factoring stage of the curriculum, where integer roots make the patterns clear. Hard moves on to the general quadratic formula.
How are the irrational roots reported?
In surd form, like x = (−b ± √D) / (2a), with √D simplified by pulling out any perfect-square factors.
Can the generator make complex-root quadratics?
Not yet. Hard insists on a positive discriminant so the roots stay real — the goal is practice with the formula, not with complex numbers.