You came to the right place!
Quickest, simplest, most common way to approach this kinda problemo is cut the plastic pos/neg wiring harness's coming from the car and twist the pos with the pos and the neg with the neg together, and than cover the exposed wire with something like heat shrink, elect. tape, or something along this lines.
You can either crimp the wires from the car to the speakers coils directly, or crimp them with the wires coming off the speaker.
Now, you may not know what wires match up to what. Well, look at the colors on your speakers wires, and the cars wires.
Notice your speakers wires are both white and one has a black line from on end to the other on it. A black line will represent neg. or ground. A red line on any other colored wire represents pos.