Quadratic & Polynomial Solver with Steps

Q: What steps does the quadratic mode display?

It logs the discriminant D = b^2 - 4ac, substitutes into the quadratic formula, simplifies the square root when possible, evaluates the vertex, and shows the resulting factorization.

Q: How does polynomial mode handle degree 3?

The solver enumerates rational root candidates from ± factors of the constant term over the leading coefficient, performs synthetic division step by step, then solves the remaining quadratic or reports that no rational root was found.

Result

Roots: —
Discriminant: —
Classification: —
Factorization: —
Completing the square: —
Vertex & axis: —

How it's calculated

Graph

Teacher Mode

Toggle to surface quick reminders about discriminants, rational root candidates, and rounding behaviour.

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FAQ

What steps does the quadratic mode display?

It records the discriminant, substitution into the quadratic formula, optional square-root simplification, vertex calculation, and the resulting factorization so you can follow every transformation.

How does polynomial mode handle degree 3?

The solver generates rational root candidates from the factors of the constant term divided by the factors of the leading coefficient, tests them with synthetic division, then solves the remaining quadratic or states that no rational root exists.

Result

How it's calculated

Graph

FAQ

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