File:Polynomial roots multiplicity.svg

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Original file ‎(SVG file, nominally 1,000 × 1,000 pixels, file size: 7 KB)

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English: Graph of the polynomial y = x^3 + 2*x^2 - 7*x + 4 with its roots (zeros) -4 and 1 marked. The root -4 is a 'simple' root (of multiplicity 1), and therefore the graph crosses the x-axis at this root. The root 1 is of even multiplicity and therefore the graph bounces off the x-axis at this root.

The gnuplot 4.4 program which generates this graph:

set terminal svg enhanced size 1000 1000 linewidth 2 fsize 20 set output "polynomial_roots_multiplicity.svg" set xrange [-5:5] set yrange [-10:25] set xzeroaxis linetype -1 set yzeroaxis linetype -1 set key off set label "x = 1" at 2,-2 left set arrow 1 from 1.9,-2 to 1,0 set label "x = -4" at -3,2 left set arrow 2 from -3.1,2 to -4,0

plot x**3 + 2 * x**2 - 7*x + 4 with lines
Date
Source Own work
Author Dov Murik

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I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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Date/TimeThumbnailDimensionsUserComment
current03:48, 10 June 2014Thumbnail for version as of 03:48, 10 June 20141,000 × 1,000 (7 KB)דובק1 (talk | contribs)User created page with UploadWizard

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