Common factorizations: Difference between revisions
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== Basic Factorizations == | == Basic Factorizations == | ||
These are basic factorizations that are used all the time. These should be memorized, but | These are basic factorizations that are used all the time. These should be memorized, but one should also know how they are derived. | ||
*<math>\displaystyle x^2-y^2=(x+y)(x-y)</math> | *<math>\displaystyle x^2-y^2=(x+y)(x-y)</math> | ||
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*<math>\displaystyle x^3-y^3=(x-y)(x^2+xy+y^2)</math> | *<math>\displaystyle x^3-y^3=(x-y)(x^2+xy+y^2)</math> | ||
== Vieta's/Newton Factorizations == | == Vieta's/Newton Factorizations == | ||
Revision as of 09:33, 7 July 2006
Basic Factorizations
These are basic factorizations that are used all the time. These should be memorized, but one should also know how they are derived.
Vieta's/Newton Factorizations
These factorizations are useful for problem that could otherwise be solved by Newton sums or problems that give a polynomial, and ask a question about the roots. Combined with Vieta's formulas, these are excellent factorizations that show up everywhere.
