When dealing with complex mathematical equations, having the right tools at your disposal can make all the difference. One such essential tool is the calculator, often used to quickly and efficiently ...

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The basic facts about separable extensions of discrete fields and factoring polynomials are developed in the constructive spirit of Errett Bishop. The ability to factor polynomials is shown to be ...

Synthetic division is another, easier, way of carrying out division of polynomials. Look at how it would work for the example above before moving on to an explanation of the process.

We show that the binary expansions of algebraic numbers do not form secure pseudorandom sequences; given sufficiently many initial bits of an algebraic number, its minimal polynomial can be ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...