A trim resistor assembly includes a trimmable resistor element embedded within a polymeric housing. The trimmable resistor element includes trimmable resistive film disposed on a nonconductive substrate. Lead wires are connected to contact pads on the substrate. The resistor element and wires are pre-assembled and placed within a mold defining a cavity. The mold includes a pedestal that covers a central region of the substrate that includes the trimmable resistive film. A polymeric material is injected into the cavity to form an integrally molded body that is the polymeric housing. In addition to the trim resistor element and the bare end sections of the wires, the section of the wires that are adjacent the end sections and include the polymeric sheath are also embedded in the housing to strengthen and seal the joint. The pedestal forms an opening in the housing that exposes the resistive film to provide access for trimming the resistance to a desired value. By embedding the trimmable resistor element and the electrical connections within an integral body, the dimensions of the housing may be minimized, and damage to the electrical connections is reduced.