en.wikipedia.org/wiki/Division_(mathematics)

One can define the division operation for polynomials in one variable over a field.
Then, as in the case of integers, one has a ...

www.sparknotes.com/math/precalc/polynomialfunctions/section4.rhtml

Long division of polynomials is a lot like long division of real numbers. If the
polynomials involved were written in fraction form, the numerator would be the ...

www.uwyo.edu/moorhouse/courses/3200/division_algorithm.pdf

Mar 19, 2012 ... constants; but in order for the Division Algorithm for Polynomials to hold, ...
polynomials f(x) and g(x) are the same, denoted f(x) = g(x), if their corresponding
... We define deg0 = −∞ so that the following ... The following is obviously
analogous to the Division Algorithm for. Integers. We omit the proof, which ...

www-math.mit.edu/~djk/18.310/18.310F04/polynomial_hamming_codes.html

We will describe encoding by use of an encoding polynomial p(x) and our rule for
... When you divide one polynomial by another, you get a quotient polynomial,
and ..... You then sum these rows mod 2, compute the binary number
corresponding to .... A very important fact about real and complex numbers, which
we want all ...

www.amsi.org.au/teacher_modules/polynomials.html

Polynomials in many respects behave like whole numbers or the integers. ...
equation enables us to give a rough sketch of the corresponding polynomial
function. ... It is best not to define the degree of the zero polynomial. .... The
division of the polynomial p(x) by the polynomial d(x) also produces a quotient q(
x) and a ...

www.shsu.edu/kws006/Precalculus/2.3_Zeroes_of_Polynomials_files/S&Z 3.2.pdf

Polynomial Division: Suppose d(x) and p(x) are nonzero polynomials where the
degree ... either case, p(x)=(x - c)q(x) + r, where r, the remainder, is a real number
, possibly 0. It follows .... division back to its corresponding step in long division.

mathworld.wolfram.com/SyntheticDivision.html

Synthetic division is a shortcut method for dividing two polynomials which can be
used in ... This sequence of numbers is placed into a division-like configuration:
... which again is placed diagonally beneath the corresponding dividend terms:.

math.stackexchange.com/questions/574001/why-cant-polynomials-have-negative-exponents-or-division-by-a-variable

Nov 20, 2013 ... Polynomials are defined as they are for a few distinct reasons: (1) ... under the
operation of division; for any two rational functions $f(x)$ and $g(x)$, ... in positive
and/or negative powers of $x$ that corresponds to the function $\frac1{x+1}$. ... If
$R$ is a ring, like the complex numbers, you can consider such ...

math.stackexchange.com/questions/898449/division-of-point-value-representation-polynomials

Aug 15, 2014 ... Discuss separately the case in which the division comes out exactly ...
Additionally, I have completely no idea why dividing the corresponding y values
is ... rational functions and polynomials rather than rational numbers and ...

www.solitaryroad.com/c632.html

If Q(x) is the quotient obtained by dividing a polynomial G(x) by (x - r) and R is ...
Some of the r's may be real numbers while others may be complex numbers. ...
then G(x) contains the quadratic factor (x<sup>2</sup> - 2ax + a<sup>2</sup> + b<sup>2</sup>), corresponding to the
...