
algebra precalculus - How does polynomial long division work ...
Jan 6, 2015 · There is one important difference between polynomial long division and long division for numbers: Polynomial long division doesn't involve a carry. Consider 3x(x2 + ax + b) 3 x (x 2 + a x + …
polynomial long division Integration - Mathematics Stack Exchange
Mar 8, 2018 · 1 $$ \int \frac {3x^2 +6x +2} {x^2 + 3x +2}dx $$ I've been trying to solve this integral, my gut tells me to use polynomial long division so I factored and got $$ \int \frac {3x^2 +6x +2} { (2+x) …
Why is only the first (highest) term of the divisor in polynomial long ...
In polynomial long division, this progress is measured by the degree of the polynomial in the numerator. So how to attain progress? All we need to do for that, is eliminate the highest power of x x ("the …
algebra precalculus - Intuition for polynomial long division ...
Mar 18, 2021 · In long division, we have to pay attention to the entire divisor because multiples of the divisor can result in carries between the various digits (columns in the usual tableau for long …
abstract algebra - Polynomial Long Division Algorithm for Integers ...
Feb 8, 2021 · Are you trying to divide polynomials with integers coefficients or integer numbers? If the former then note that both polynomials have to be monic (i.e. leading coefficient equal to 1 1; or to …
calculus - Why must you do polynomial long division to find oblique ...
Jan 28, 2020 · Why must you do polynomial long division to find oblique asymptotes of rational functions? Ask Question Asked 5 years, 11 months ago Modified 4 years, 4 months ago
Modulo 2 binary division (XOR not subtracting) method
It looks like you are XORring as opposed to subtracting. This means that you are doing long division in the ring of polynomials of binary coefficients (F2[x] F 2 [x]). This is the operation that is needed e.g. …
Polynomial long division(alternative methods) - Mathematics Stack …
Jun 26, 2019 · Polynomial long division (alternative methods) Ask Question Asked 6 years, 6 months ago Modified 6 years, 6 months ago
What branches of math make frequent use of polynomial long division?
The theory of polynomial long division is very relevant in the construction of algebraic extensions of fields, though you may not need to actually long divide any polynomials, just understand how it works.
how do I divide a polynomial by the polynomial that has higher degree?
Jun 3, 2017 · I don't have any problem when I calculate g(x)/f(x) g (x) / f (x), but I tried to calculate f(x)/g(x) f (x) / g (x) and I couldn't find the way to solve it. How should I do the polynomial long …