A process for making polyethylene having an uncommon but valuable balance of broad molecular weight distribution and a low level of long-chain branching is disclosed. The process comprises polymerizing ethylene in a single reactor in the presence of an .alpha.-olefin and a catalyst comprising an activator and a supported dialkylsilyl-bridged bis(indeno[1,2-b]indolyl)zirconium complex. The polyethylene, which has an M.sub.w/M.sub.n greater than 10 and a viscosity enhancement factor (VEF) of less than 2.5, is valuable for making blown films.