The form factor for inelastic electron scattering to 2 + and 4 + states in 50,52,54 Cr have been studied in the framework of shell model. The calculation is performed in the (0f7/2,1p3/2,0f5/2,1p1/2). Longitudinal C2 and C4 multipolarity are investigated for these states. Core polarization effect are included through the first order perturbation theory and the matrix element are calculated with MSDI. The inclusion of core polarization leads to an enhancement of the calculated form factor, improving good agreement with experimental data.