Polynomials
Polynomials are equations of a single variable with nonnegative integer exponents.
MATLAB® represents polynomials with numeric vectors containing the polynomial
coefficients ordered by descending power. For example, [1 -4 4] corresponds
to x2 - 4x +
4. For more information, see Create and Evaluate Polynomials.
Functions
poly | Polynomial with specified roots or characteristic polynomial |
polydiv | Polynomial long division (Since R2024a) |
polyeig | Polynomial eigenvalue problem |
polyfit | Polynomial curve fitting |
residue | Partial fraction expansion (partial fraction decomposition) |
roots | Polynomial roots |
polyval | Polynomial evaluation |
polyvalm | Matrix polynomial evaluation |
conv | Convolution and polynomial multiplication |
deconv | Least-squares deconvolution and polynomial division |
polyint | Polynomial integration |
polyder | Polynomial differentiation |
Topics
- Create and Evaluate Polynomials
This example shows how to represent a polynomial as a vector in MATLAB® and evaluate the polynomial at points of interest.
- Roots of Polynomials
Calculate polynomial roots numerically, graphically, or symbolically.
- Integrate and Differentiate Polynomials
This example shows how to use the
polyintandpolyderfunctions to analytically integrate or differentiate any polynomial represented by a vector of coefficients. - Polynomial Curve Fitting
This example shows how to fit a polynomial curve to a set of data points using the
polyfitfunction. - Programmatic Fitting
There are many functions in MATLAB that are useful for data fitting.
Featured Examples
Predicting the US Population
Extrapolating data using polynomials of even modest degree is risky and unreliable.
