Category: Algebra
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Simplifying nested radicals
Nested radicals appear in many math problems, especially in trigonometry. They are expressions that have a root inside of another root, usually of the form √(x+√y). Example: This is quite messy to look at, but under certain circumstances it can be simplified into two non-nested radicals. This example can be reduced to: We can derive…
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How to graph a polynomial of degree n that goes through any n+1 points
A very long time ago, my math teacher told me that a quadratic could pass through any 3 points, a cubic any 4 points, etc. While this seemed intuitive to me, I could not think of a formula. About a year ago, I spent two hours deriving a general formula for the quadratic case, which…
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Cubic Polynomial “Zero-Sum” Factoring Strategy, Part 2
Various proofs about the Zero-Sum Factoring Strategy for Cubic Polynomials.
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Cubic Polynomial “Zero-Sum” Factoring Strategy
A method for factoring cubic polynomials with integer coefficients. Is this strategy original?