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# Power Series (`numpy.polynomial.polynomial`)

This module provides a number of objects (mostly functions) useful for dealing with polynomials, including a `Polynomial` class that encapsulates the usual arithmetic operations. (General information on how this module represents and works with polynomial objects is in the docstring for its “parent” sub-package, `numpy.polynomial`).

## Classes

`Polynomial`(coef[, domain, window, symbol]) | A power series class.

## Constants

`polydomain` | ndarray(shape, dtype=None, buffer=None, offset=0, strides=None, order=None)
`polyzero` | ndarray(shape, dtype=None, buffer=None, offset=0, strides=None, order=None)
`polyone` | ndarray(shape, dtype=None, buffer=None, offset=0, strides=None, order=None)
`polyx` | ndarray(shape, dtype=None, buffer=None, offset=0, strides=None, order=None)

## Arithmetic

`polyadd`(c1, c2) | Add one polynomial to another.
`polysub`(c1, c2) | Subtract one polynomial from another.
`polymulx`(c) | Multiply a polynomial by x.
`polymul`(c1, c2) | Multiply one polynomial by another.
`polydiv`(c1, c2) | Divide one polynomial by another.
`polypow`(c, pow[, maxpower]) | Raise a polynomial to a power.
`polyval`(x, c[, tensor]) | Evaluate a polynomial at points x.
`polyval2d`(x, y, c) | Evaluate a 2-D polynomial at points (x, y).
`polyval3d`(x, y, z, c) | Evaluate a 3-D polynomial at points (x, y, z).
`polygrid2d`(x, y, c) | Evaluate a 2-D polynomial on the Cartesian product of x and y.
`polygrid3d`(x, y, z, c) | Evaluate a 3-D polynomial on the Cartesian product of x, y and z.

## Calculus

`polyder`(c[, m, scl, axis]) | Differentiate a polynomial.
`polyint`(c[, m, k, lbnd, scl, axis]) | Integrate a polynomial.

## Misc Functions

`polyfromroots`(roots) | Generate a monic polynomial with given roots.
`polyroots`(c) | Compute the roots of a polynomial.
`polyvalfromroots`(x, r[, tensor]) | Evaluate a polynomial specified by its roots at points x.
`polyvander`(x, deg) | Vandermonde matrix of given degree.
`polyvander2d`(x, y, deg) | Pseudo-Vandermonde matrix of given degrees.
`polyvander3d`(x, y, z, deg) | Pseudo-Vandermonde matrix of given degrees.
`polycompanion`(c) | Return the companion matrix of c.
`polyfit`(x, y, deg[, rcond, full, w]) | Least-squares fit of a polynomial to data.
`polytrim`(c[, tol]) | Remove "small" "trailing" coefficients from a polynomial.
`polyline`(off, scl) | Returns an array representing a linear polynomial.

## See Also

`numpy.polynomial`