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We report on a search for the CP asymmetry in the singly
Cabibbo-suppressed decays D+ -> KKpi
and in the resonant decays D+ -> phipi and D+ -> KstarK based on a
data sample of 79.9 fb^-1 recorded by the BABAR detector.
We use the Cabibbo-favored Ds -> KKpi branching fraction as normalization
in the measurements to reduce systematic uncertainties.
The CP asymmetries obtained are
A_{CP}(KKpi) =
(1.4 +/- 1.0 (stat.) +/- 0.8 (syst.) x 10^-2,
A_{CP}(phi pi) =
(0.2 +/- 1.5 (stat.) +/- 0.6 (syst.) x 10^-2, and
A_{CP}(Kstar K) =
(0.9 +/- 1.7 (stat.) +/- 0.7 (syst.) x 10^-2.
The relative branching fraction
Gamma(D+ -> KKpi)/Gamma(D+ -> Kpipi) is also measured and
is found to be
(10.7 +/- 0.1 (stat.) +/- 0.2 (syst.) x 10^-2.
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