Note: This page has been translated by MathWorks. Please click here

To view all translated materals including this page, select Japan from the country navigator on the bottom of this page.

To view all translated materals including this page, select Japan from the country navigator on the bottom of this page.

Coefficients of polynomial

`C = coeffs(p)`

`C = coeffs(p,var)`

`C = coeffs(p,vars)`

```
[C,T] =
coeffs(___)
```

`___ = coeffs(___,'All')`

`___ = coeffs(___,'All')`

returns
all coefficients, including coefficients that are 0. For example, `coeffs(2*x^2,'All')`

returns ```
[
2, 0, 0]
```

instead of `2`

.

Find the coefficients of this univariate polynomial. The coefficients are ordered from the lowest degree to the highest degree.

syms x c = coeffs(16*x^2 + 19*x + 11)

c = [ 11, 19, 16]

Reverse the ordering of coefficients by using `fliplr`

.

c = fliplr(c)

c = [ 16, 19, 11]

Find the coefficients of this polynomial with
respect to variable `x`

and variable `y`

.

syms x y cx = coeffs(x^3 + 2*x^2*y + 3*x*y^2 + 4*y^3, x) cy = coeffs(x^3 + 2*x^2*y + 3*x*y^2 + 4*y^3, y)

cx = [ 4*y^3, 3*y^2, 2*y, 1] cy = [ x^3, 2*x^2, 3*x, 4]

Find the coefficients of this polynomial with
respect to both variables `x`

and `y`

.

syms x y cxy = coeffs(x^3 + 2*x^2*y + 3*x*y^2 + 4*y^3, [x y]) cyx = coeffs(x^3 + 2*x^2*y + 3*x*y^2 + 4*y^3, [y x])

cxy = [ 4, 3, 2, 1] cyx = [ 1, 2, 3, 4]

Find the coefficients and the corresponding terms of this univariate polynomial. When two outputs are provided, the coefficients are ordered from the highest degree to the lowest degree.

syms x [c,t] = coeffs(16*x^2 + 19*x + 11)

c = [ 16, 19, 11] t = [ x^2, x, 1]

Find the coefficients and the corresponding
terms of this polynomial with respect to variable `x`

and
variable `y`

.

syms x y [cx,tx] = coeffs(x^3 + 2*x^2*y + 3*x*y^2 + 4*y^3, x) [cy,ty] = coeffs(x^3 + 2*x^2*y + 3*x*y^2 + 4*y^3, y)

cx = [ 1, 2*y, 3*y^2, 4*y^3] tx = [ x^3, x^2, x, 1] cy = [ 4, 3*x, 2*x^2, x^3] ty = [ y^3, y^2, y, 1]

Find the coefficients of this polynomial with respect to both
variables `x`

and `y`

.

syms x y [cxy, txy] = coeffs(x^3 + 2*x^2*y + 3*x*y^2 + 4*y^3, [x,y]) [cyx, tyx] = coeffs(x^3 + 2*x^2*y + 3*x*y^2 + 4*y^3, [y,x])

cxy = [ 1, 2, 3, 4] txy = [ x^3, x^2*y, x*y^2, y^3] cyx = [ 4, 3, 2, 1] tyx = [ y^3, x*y^2, x^2*y, x^3]

Find all coefficients of a polynomial, including
coefficients that are `0`

, by specifying the option `'All'`

.

Find all coefficients of *3 x^{2}*.

syms x c = coeffs(3*x^2, 'All')

c = [ 3, 0, 0]

If you find coefficients with respect to multiple variables
and specify `'All'`

, then `coeffs`

returns
coefficients for all combinations of the variables.

Find all coefficients and corresponding terms of * ax^{2} + by*.

syms a b y [cxy, txy] = coeffs(a*x^2 + b*y, [y x], 'All')

cxy = [ 0, 0, b] [ a, 0, 0] txy = [ x^2*y, x*y, y] [ x^2, x, 1]

Was this topic helpful?