Divide performs
polynomial division, dividing a subject expression by
a divisor polynomial obtained from the user. The subject is replaced
by an expression of the form
d(x)⋅q(x)+r(x)
where
d(x)
is the divisor and
q(x)
and
r(x)
are other polynomials. If
r(x)
is
zero,
d(x)
is a factor of the subject.
For example, the result of dividing
x^3-2⋅x^2-x+2
by
x-1
is
(x-1)⋅(x^2-x-2). There is no remainder, so
x-1
is a factor of the original
polynomial and hence
x=1
is a root.
The root of the remaining binomial in the example can be found using Quadratic .
