This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.

# RootIntervals

 RootIntervals[{poly1, poly2, ...}]gives a list of isolating intervals for the real roots of any of the polyi, 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.
• The coefficients of poly must be integers or rationals.
• An isolating interval for a root a of a polynomial poly is an interval where the only root of poly contained in the interval is a.
• 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.
Get isolating intervals, together with a list of which polynomial has which root:
 Out[1]=

The isolating intervals are always specified by exact rationals:
 Out[1]=
 Scope   (6)
 Applications   (1)
New in 6