The polarized longitudinal-transverse structure function σLT′ has been measured in the Δ(1232) resonance region at Q2=0.40 and 0.65GeV2. Data for the p(e⃗ ,e′p)π0 reaction were taken at Jefferson Lab with the CEBAF large acceptance spectrometer (CLAS) using longitudinally polarized electrons at an energy of 1.515 GeV. For the first time a complete angular distribution was measured, permitting the separation of different nonresonant amplitudes using a partial wave analysis. Comparison with previous beam asymmetry measurements at MAMI indicate a deviation from the predicted Q2 dependence of σLT′ using recent phenomenological models.