Polynomial Calculator
Add, Subtract, Multiply, Divide & Find Roots
Solve any polynomial problem instantly โ addition, subtraction, multiplication, long division, factoring, roots, derivatives and integrals โ with full step-by-step working, free and unlimited.
Enter your polynomial(s) below
^ for powers and standard + / โ between terms. Examples:
2x^3 - 4x^2 + x - 7, x^2 - 1, 5.
What this tool does
- โ Add, subtract, multiply any two polynomials
- โ Long division with quotient & remainder shown
- โ Real roots โ linear, quadratic (with the formula) & higher-degree (numeric)
- โ Derivative and indefinite integral, term by term
- โ Evaluate P(x) at any value of x
- โ 100% free, no login, works on any device
How to Use the Polynomial Calculator
Pick an operation
Choose Add, Subtract, Multiply, Divide, Roots, Derivative, Integral or Evaluate from the tabs above the input box.
Type your polynomial
Write it naturally, like 2x^2 - 3x + 1. The calculator understands missing coefficients, negative terms and any variable order.
Get the full working
Every answer shows the method used โ not just the final result โ so you can follow the same steps in your own homework or exam.
Still stuck on the concept?
Use the "Ask the AI Maths tutor" link below your result to get a full explanation in English or Tamil, with a memory tip included.
Polynomial Calculator โ Questions Answered
Yes โ every operation on this page (addition, subtraction, multiplication, division, roots, derivatives, integrals, evaluation) is completely free, unlimited, and does not require an account. It runs directly in your browser.
It solves linear and quadratic equations exactly using the quadratic formula, and finds real roots of higher-degree polynomials (cubic and above) using a numerical method. Complex (non-real) roots are not shown.
Yes. Every result includes the method โ for example, division shows each step of the long division, and roots show the discriminant and formula used โ so you can learn the process, not just copy the answer.
Use standard notation with ^ for powers, for example 3x^2 + 5x โ 2. You can omit coefficients of 1 (just "x"), use any sign, and leave out terms that don't exist.
Yes โ the Divide tab performs full polynomial long division and clearly separates the quotient from the remainder, matching how it's expected to be shown in TN Board, CBSE and JEE exams.
Yes. Polynomial operations, factor theorem-style root finding, and quick differentiation/integration checks are common in JEE and NEET-level algebra and calculus questions, and this tool is built to match that syllabus level.
The calculator itself is language-neutral (it's just maths), but you can click "Ask the AI Maths tutor" below any result to get a full Tamil or English explanation of the concept from StudyHelpAI's AI solver.
Free Online Polynomial Calculator for Indian Students
Working with polynomials is a core part of Class 9โ12 Algebra, JEE Mathematics and NEET-adjacent problem solving. This free polynomial calculator handles addition, subtraction, multiplication, long division, root-finding, differentiation and integration โ with the full method shown, not just a final number.
Unlike a plain answer-only tool, StudyHelpAI's polynomial calculator is built for learning: every result explains how it was reached, so you can apply the same steps by hand in your exam. For deeper conceptual help โ like understanding why the quadratic formula works, or seeing a full worked solution in Tamil โ use the "Ask the AI Maths tutor" link to jump into StudyHelpAI's complete Maths homework solver.
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