Polynomial Calculator

A comprehensive polynomial calculator that evaluates expressions, finds roots (real and complex), performs addition, subtraction, multiplication, and division of polynomials, and provides step-by-step solutions.

isCalculator Editorial Team Published by:
Reviewed by: Review Board
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How to use this tool?

How to Use the Polynomial Calculator

This calculator performs operations on polynomials. Enter coefficients in descending order of powers (e.g., 1,-3,2 for x² - 3x + 2).

  1. Enter the first polynomial – type coefficients separated by commas in the first input field.
  2. Choose an operation from the dropdown:
    • Evaluate at x – enter an x value to compute the polynomial’s result.
    • Find Roots – solves for x where polynomial = 0 (supports linear and quadratic; higher degrees show a placeholder).
    • Add, Subtract, Multiply, or Divide – a second polynomial input appears; enter its coefficients.
  3. Provide additional inputs – for evaluation, enter the x value; for binary operations, enter the second polynomial.
  4. Click Calculate – the result and step-by-step explanation appear below.

Note: Coefficients can be integers or decimals. For division, the denominator polynomial cannot be zero. Roots for degree >2 are not computed (placeholder message shown).

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Frequently Asked Questions

Enter the coefficients in descending order of degree, separated by commas. For example, for x^2 - 3x + 2, enter '1,-3,2'. For a constant polynomial like 5, just enter '5'.

The calculator supports evaluation at a given x, finding roots (up to quadratic, complex included), and polynomial addition, subtraction, multiplication, and division.

Yes, the calculator can handle polynomials of any degree for evaluation and arithmetic operations. Root finding is implemented for degrees 1 and 2 (quadratic formula). For higher degrees, it returns a message that root finding is not implemented.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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