Algebra

Polynomial calculator

Evaluate a polynomial, estimate its roots, calculate its derivative and antiderivative, and plot the curve.

Example: 1, -6, 11, -6 represents x³ − 6x² + 11x − 6.

Polynomial

x^3 − 6x^2 + 11x − 6

P(2)

0

Degree

3

Numeric roots

x1 = 1
x2 = 2
x3 = 3

Derivative

3x^2 − 12x + 11

Antiderivative with C = 0

0.25x^4 − 2x^3 + 5.5x^2 − 6x

P(x)
-1-0.250.51.2522.753.54.255-24.37-16.25-8.12308.12316.2524.37
The roots are estimated numerically. In polynomials with multiple or extremely close roots small rounding differences may appear.

Frequently asked questions

How do I enter a polynomial?

Enter its coefficients in descending order of degree. For example, 1,-6,11,-6 represents x³−6x²+11x−6.

Does it find complex roots?

Yes. It uses an iterative numerical method to estimate all roots, including complex ones.

What is the highest degree it supports?

The interface supports polynomials of degree 1 to 8.