In algebra, a resolvent cubic is one of several distinct, although related, cubic polynomials defined from a monic polynomial of degree four: P ( x ) = x 4 + a 3 x 3 + a 2 x 2 + a 1 x + a 0 . {\displaystyle P(x)=x^{4}+a_{3}x^{3}+a_{2}x^{2}+a_{1}x+a_{0}.} In each case: The coefficients of the resolvent cubic can be obtained from the coefficients of P(x) using only sums, subtractions and multiplications.
In algebra, a resolvent cubic is one of several distinct, although related, cubic polynomials defined from a monic polynomial of degree four: P ( x ) = x 4 + a 3 x 3 + a 2 x 2 + a 1 x + a 0 . {\displaystyle P(x)=x^{4}+a_{3}x^{3}+a_{2}x^{2}+a_{1}x+a_{0}.} In each case: The coefficients of the resolvent cubic can be obtained from the coefficients of P(x) using only sums, subtractions and multiplications.
Source: Wikipedia "Resolvent cubic" · CC BY-SA 4.0
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