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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
RootIntervals
RootIntervals[{poly1, poly2, ...}]
gives a list of isolating intervals for the real roots of any of the
, together with a list of which polynomials actually have each successive root.
RootIntervals[poly]
gives isolating intervals for real roots of a single polynomial.
RootIntervals[polys, Complexes]
gives bounding rectangles for complex roots.
DetailsDetails
- The coefficients of poly must be integers or rationals.
- An isolating interval for a root
of a polynomial poly is an interval where the only root of poly contained in the interval is
. - If a root is real, the isolating interval is an open real interval, or a point. If a root is not real, the isolating interval is an open rectangle, disjoint from the real axis.
- Multiple roots give multiple entries in the second list generated by RootIntervals.
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