The metal-insulator ͑MI͒ transition in epitaxial thin films of La 0.75 Ca 0.25 MnO 3 ͑LCMO͒ is accompanied by the appearance of an intrinsic electrical nonlinearity. The latter, probed by electrical third harmonic voltage, U 3 , or resistance, R 3 = dU 3 / dJ, is drastically enhanced in the vicinity of the MI transition, T MI = 267 K. Applied magnetic field, B = 5 T, suppresses the nonlinearity, resulting in a huge "nonlinear" CMR 3 ͑T MI ͒ ϳ 10 5 %. R 3 shows a peculiar low-frequency ͑ Յ 1 kHz͒ dependence, R 3 ϳ͑-0 ͒ n , with exponent, n, changing across the MI transition from n ϳ 1,5-2 for T Ն T MI to n =1 ͑T Ͻ T MI ͒. The observed electrical nonlinearity in LCMO reflects the behavior of correlated polarons, the number of which dramatically enhances in the vicinity of T MI . We argued that correlated polarons, considered as electric-elastic quadrupoles, provide a nonlinear ͑quadratic͒ coupling to the electric field, yielding a third harmonic electric nonlinearity in LCMO. The reference film of La 0.7 Sr 0.3 MnO 3 ͑LSMO͒, a prototypic double exchange system with second-order phase transition, is characterized as a linear metallic material in the whole range of temperatures ͑T = 10-400 K͒, magnetic fields ͑B =0-5 T͒, and frequencies ͑ = 1 -1000 Hz͒.