horner

Horner nested polynomial representation

Syntax

horner(p)

horner(p,var)

horner(p) returns the Horner form of the polynomial p.

horner(p,var) uses the variable in var.

Find the Horner representation of a polynomial.

syms x
p = x^3 - 6*x^2 + 11*x - 6;
horner(p)

ans =
x*(x*(x - 6) + 11) - 6

Specify the variable in the polynomial by using the second argument.

syms a b y
p = a*y*x^3 - y*x^2 - 11*b*y*x + 2;
horner(p,x)

ans =
2 - x*(11*b*y + x*(y - a*x*y))

horner(p,y)

ans =
2 - y*(- a*x^3 + x^2 + 11*b*x)

Polynomial, specified as a symbolic expression or function, or an array of symbolic expressions or functions.

Variable, specified as a symbolic variable or an array of symbolic variables.

Introduced before R2006a