-
alternative notation, with
powers of the
indeterminate x {\displaystyle x} used to
indicate the
order of the
coefficients. Two such
formal polynomials are...
- polynomials,
requiring neither coefficients nor exponents.
Coefficients are
redundant because 1 is the only
nonzero coefficient.
Exponents are
redundant because...
-
polynomial is a
mathematical expression consisting of
indeterminates (also
called variables) and
coefficients, that
involves only the
operations of addition...
-
obtained by
replacing in the
generic resultant the
indeterminate coefficients by the
actual coefficients of the P i . {\displaystyle P_{i}.} The main property...
- with
complex coefficients,
where Q is not the zero
polynomial and P and Q have no
common factor (this
avoids f
taking the
indeterminate value 0/0). The...
- from the set of
polynomials in one or more
indeterminates (traditionally also
called variables) with
coefficients in
another ring,
often a field. Often, the...
- The
integers x and y are
called Bézout
coefficients for (a, b); they are not unique. A pair of Bézout
coefficients can be
computed by the
extended Euclidean...
-
coefficients and
allows deducing some
properties of the
roots without computing them. More precisely, it is a
polynomial function of the
coefficients...
-
polynomial P(x) of
degree less than n(m + 1) with
indeterminate coefficients; that is, the
coefficients of P(x) are n(m + 1) new variables. Then, by writing...
-
sequence of
coefficients [1, −3, 5, −7, 9, −11, ...]. In
other words, a
formal power series is an
object that just
records a
sequence of
coefficients. It is...
