Mathlean · Online math workspace

Polynomial discriminant calculator

Compute a discriminant to detect repeated polynomial roots.

How to use this calculator

Edit Discriminant(polynomial,variable). The quadratic starter has discriminant 5.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

Discriminant⁡(x2+3x+1,x)\operatorname{Discriminant}\left(x^2+3x+1,x\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

For degrees beyond two, the sign alone is not the usual quadratic root-count rule.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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