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resolde
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There are 7 letters in RESOLDE ( D2E1L1O1R1S1 )
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Resolde might refer to |
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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. * 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. |