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About: Resolvent cubic     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatPolynomials, within Data Space : dbpedia.org associated with source document(s)

Type: yago:Abstraction100002137yago:Function113783816yago:MathematicalRelation113783581yago:Polynomial105861855yago:Relation100031921yago:WikicatPolynomials New Facet based on Instances of this Class

In algebra, a resolvent cubic is one of several distinct, although related, cubic polynomials defined from a monic polynomial of degree four: In each case: * The coefficients of the resolvent cubic can be obtained from the coefficients of P(x) using only sums, subtractions and multiplications. * Knowing the roots of the resolvent cubic of P(x) is useful for finding the roots of P(x) itself. Hence the name “resolvent cubic”. * The polynomial P(x) has a multiple root if and only if its resolvent cubic has a multiple root.