Questions tagged [polynomials]

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Long division between two polynomials, one has a variable coefficient

I would like to do the long division between polynomials p(x)=-x^4+2x^2-(a-1)^2x+1 (where a is a real number) and q(x)=x+1: I tried to use polynom package as follows: \documentclass{article} \...
15 views

How can I represent a block will be executed polynomial time with package algorithm?

I want to represent an algorithm where a subsection must be repeated polynomial time. I am using algorithm package. I want to represent something like: ... repeat polynomial time state 1 ...
18 views

\polylongdiv with style=D warnings appear. How do I remove these warnings?

I am using this code: \polyset{style=D,vars=x} \polylongdiv{x^5+7x^3-5x+1}{x^3+2x} When I compile, I get the following warning message, but the pdf file is ok. How can I remove these warning ...
137 views
+50

How to visualize (polynomial) long division with infinite fractions only for the first n fractions

I have the following fraction (1+2z^{-1})\(1+2z^{-1}+4z^{-3}) which I want to calculate and visualize with the polynom-package. However, if I execute the following code: \documentclass{article} \...
57 views

Polynomial division and alignment

I am recreating the steps shown in the figure below: I have tried to use the polynom package but it doesn't help due to difference in the degree of the polynomials. What I have got so far is this: ...
305 views

pgfplots: How to draw a tangent graph below two others?

Assumed I want to draw three simple graphs based on the following illustration: How can I plot those three graphs? I've tried to create something like this: Minimum Working Example (MWE): \...
113 views

Ploting the roots of a polynomial

I want to plot the roots of any given polynomial on the complex plane. Example: Let \$P(x)=x^4-x^3-1\$ be given. I want to plot on the \$Oxy\$ complex plane all four roots of this polynomial. I suppose ...
126 views

polynom.sty: How can show only the task and the result of a Polynomial long division?

How can I automatically show only the task and the result of a Polynomial long division, like (without the 'gap', too late seen above) I know, there are possibilities to bunch that together (see MWE)...
3k views

Horner's Method for polynomial long division

I am trying to do a polynomial division using Horner's Method of Synthetic Division, as described on page 451 of the book, Elementary Algebra by Hall & Knight. I wanted to perform the following ...
190 views

Variable argument macro to define splitting polynomial

I need a macro that behaves the following: \mpoly{x}{1}{2} outputs (x+1)(x+2) \mpoly{x}{1}{2}{3} outputs (x+1)(x+2)(x+3) \mpoly{x}{1}{2}{3}{5} outputs (x+1)(x+2)(x+3)(x+5) and so on. I am not at ...
314 views

Exercise & Solution Page

In an earlier post of mine, I asked how to create separate exercise and solution pages for basic arithmetic. I'm trying the same thing now for factoring simple trinomials, but it's not working and I'm ...
381 views

Polynom Package Multiplication

Ok! So...was really pleased when I discovered that polynom will just do polynomial long division for me like it's no big deal. But...is there a function for multiplying polynomials? I seem to have ...
51 views

Use of polynomial command with an argument defined by \dfrac{2]{3} for example

This question is the following of this one. The solution worked very well (Thanks so much JPI !) but it remains another request : with the previous code (without the 1st solution by JPI) I could use ...
149 views

Type of variable used in macro polynomial?

I would like to use polynomial macro, just with the standard way. But the coefficients of the polynom are generated by \FPeval or \pgfmathrandominteger commands => the result of polynomial isn't the ...
335 views

How to manually write polynomials long division rather than using the automated polynom?

I very new to LaTeX and currently try to practice writing engineering reports with it as a replacement for Microsoft Word. In one of my assignments I have to do Polynomial Long Divisions. I found ...