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Upgrading from:

Algebra`RootIsolation`

New functions CountRoots, IsolatingInterval, and RootIntervals have been added to the built-in Mathematica kernel.
IsolatingInterval includes the functionality of ContractInterval from Version 5.2.
RootIntervals incorporates the functionality of RealRootIntervals and ComplexRootIntervals from Version 5.2.

CountRoots now counts roots in closed intervals; in Version 5.2, it used open intervals:

Version 5.2 << Algebra`RootIsolation`; CountRoots[(x^2 - 2) (x^2 - 3) (x^2 - 4), {x, 1, 2}]
Wolfram Language code: CountRoots[(x ^ 2 - 2) (x ^ 2 - 3) (x ^ 2 - 4), {x, 1, 2}]

RootIntervals gives real roots by default:

Version 5.2 RealRootIntervals[(x^2 - 2) (x^2 - 3) (x^2 - 4), {x, 1, 2}]
Wolfram Language code: RootIntervals[(x ^ 2 - 2) (x ^ 2 - 3) (x ^ 2 - 4)]

RootIntervals also gives complex roots:

Version 5.2 ComplexRootIntervals[f + 3]
Wolfram Language code: RootIntervals[f + 3, Complexes]

IsolatingInterval includes the functionality of ContractInterval from Version 5.2:

Version 5.2 ContractInterval[Root[x^10 - 1, 5], 10]
Wolfram Language code: IsolatingInterval[Root[x ^ 10 - 1, 5], 10 ^ -10]