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Maths calculators for Class 1–12 · CBSE, ICSE & state boards, UK KS1–A-level, IGCSE, US Common Core & AP — every answer worked out step by step.

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Ask anything in maths — type an expression or a plain-English question. The answer comes back as a set of panels: the result, other forms, a plot, roots, derivative, integral, number facts and a step-by-step solution, just like a computational knowledge engine.


Descartes' Rule of Signs Calculator: worked out step by step

Count the possible positive and negative real roots of a polynomial from the sign changes of its coefficients. Made for Class 11 to 12 (CBSE, ICSE and state boards), UK Year 12 to 13, US Grade 11 to 12.

What you can work out

Worked example

With f(x) = x^4 - 3x^3 + 2x - 5, the answer is positive real roots = 3 or 1. The full working has 6 steps.

Questions about this calculator

What does the Descartes' Rule of Signs Calculator do?

Count the possible positive and negative real roots of a polynomial from the sign changes of its coefficients. It has these parts: Type the Polynomial, Type the Coefficients.

Is the Descartes' Rule of Signs Calculator free?

Yes. Everything on numolve is free to try. numolve Plus adds the full step-by-step working, photo scan, answer keys and PDF worksheets.

Does the Descartes' Rule of Signs Calculator show the working?

Yes. It shows the working one step at a time, with the formula where there is one. Free users see the first three steps of each solution; numolve Plus shows all of them.

Which classes is it for?

It is made for Class 11 to 12 (CBSE, ICSE and state boards), UK Year 12 to 13, US Grade 11 to 12.

Can I use it on my phone?

Yes. numolve works in any phone browser, and the Get the app button installs it like an app on Android and iPhone.

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