Difference between revisions of "User:Temperal/The Problem Solver's Resource4"
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If third-degree polynomial <math>Q(x)=ax^3+bx^2+cx+d</math> has roots <math>r,s,t</math>, then: | If third-degree polynomial <math>Q(x)=ax^3+bx^2+cx+d</math> has roots <math>r,s,t</math>, then: | ||
− | <math>rst=\frac{-b}{a}</math> | + | *<math>rst=\frac{-b}{a}</math> |
− | <math>r+s+t=\frac{-c}{a}</math> | + | *<math>r+s+t=\frac{-c}{a}</math> |
− | <math>rs+st+rt=\frac{-c}{b}</math> | + | *<math>rs+st+rt=\frac{-c}{b}</math> |
<!-- actually, I'm not sure if this is right. Could someone check this? --> | <!-- actually, I'm not sure if this is right. Could someone check this? --> | ||
Revision as of 12:56, 23 November 2007
AlgebraThis is a collection of algebra laws and definitions. Obviously, there is WAY too much to cover here, but we'll try to give a good overview. Elementary AlgebraDefinitions
Factor TheoremIff a polynomial Quadratic FormulaFor a quadratic of form Fundamental Theorems of Algebra
Third-degree and Quartic FormulasIf third-degree polynomial Quartic formulas are listed here. The general quintic equation (or an equation of even higher degree) does not have a formula. DeterminantsThe determinant of a General Formula for the DeterminantLet
Cramer's LawConsider a set of three linear equations (i.e. polynomials of degree one) Let Abstract AlgebraIncomplete. Back to page 3 | Continue to page 5 |