This should work out just fine. The LC2I has 2 Channels on INPUT but has 4 Channels of OUTPUT. You will get a Bass Output and a Main Output. It would be perfect if youíre tapping into a full range signal. This would give you all the frequencies you need to drive the system. Usually the front or rear will be full range unless itís a multi-channel system with active crossovers controlled by the factory amp. Since you have a Bose system you might have a full range signal but Iím not exactly sure. Youíll want to tap into whatever signal has the widest frequency range.