About the Polynomial Calculator
Add, subtract or multiply two polynomials, evaluate at a point, and find the degree and all roots of the result.
Also known as: polynomial operations, multiply polynomials, add polynomials, polynomial roots, evaluate polynomial.
How to use this calculator
- Enter polynomial p(x), operation, evaluate at x =.
- The result updates instantly as you type — press Calculate (or Enter) at any time.
- Review the breakdown shown under the main result.
- Use Copy result or Share to save the answer or send a link with your inputs.
Formula
(aₙxⁿ + …)(bₘxᵐ + …) — multiply every term by every term, then collect like terms
Worked example
Using the values pre-filled in the calculator above:
- Polynomial P(x): 2x^2 - 3x + 1
- Operation: P × Q
- Polynomial Q(x): x + 4
- Evaluate at x = = 2
the calculator returns:
- Result: 2x^3 + 5x^2 - 11x + 4
- Degree: 3
- Value at x = 2: 18
- Roots: -4, 0.5, 1