Mathematica Notebooks for Standard Algebra

Important Note: The links for the notebooks open a new window or tab with a Google Drive page – the current settings for our homepages won’t allow me to host mathematica notebooks locally.

Slope and Slope Intercept

This notebook contains two simple manipulations to illustrate the idea of the slope between two points and the slope-intercept form of a line.

Download this or my other algebra notebooks from Google Drive

Roots of Polynomials

This notebook has a manipulation which displays the complex roots of a polynomial graphically in the complex plane.  By changing the degree and selecting “Random Polynomial”, you can see the Fundamental Theorem of Algebra (a polynomial of degree n has n roots) and the Conjugate Theorem (if p(x) is a polynomial with real coefficients and a+bi is a root, so is a-bi).  Real roots are blue, nonreal roots in green.

Download this or my other algebra notebooks from Google Drive

Multiplying Polynomials

This notebook demonstrates how to multiply two polynomials step by step.

Download this or my other algebra notebooks from Google Drive

Solving Cubic Equations by Trisections

This notebook demonstrates the steps to solving a cubic equation geometrically by trisecting a particular angle.  You can find a version of this on the Wolfram Demonstrations Project.

Download this or my other algebra notebooks from Google Drive

Solving Cubic Equations by Common tangents

This notebook lets you (approximately) solve a cubic equation by trying to find a common tangent to two particular parabolas.  It’s based on an idea from David A. Cox’s excellent textbook Galois Theory.

Download this or my other algebra notebooks from Google Drive

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