So should you go active speakers and sub or passive speakers and sub?
This is a topic that can have a lot of debate associated with it.
Most people, in a home theater setting, use passive main speakers and a active subwoofer(s), myself included.
Passive main speakers allow for a AV receiver to be purchased which can drive all the speakers to solid listening levels and allows for upgrades in the future to a better amplifier/AV preamp combo in the future if you desire. It allows the speakers to be swapped to different/better speakers in the future without the added cost of buying an amp with each of those speakers along the way.
Subwoofers tend to be different because they are typically purpose built with a need for a lot of power, so a good amplifier, or at least a matched amplifier is important. Spending as much on a subwoofer as you do on the rest of your speakers isn't unheard of. It is one of those areas where as you spend more, you tend to get more out of them (up to a point). So, that $200 Polk subwoofer isn't in the same league as that $2,000 SVS subwoofer.
More importantly, adding a more powerful amp to most subwoofers won't change much with their sound and could hurt the final sound. So, that properly matched subwoofer amp is a part of what makes them sound so good.
Are there active speakers that sound great? Absolutely! I don't knock active speakers at all. They also have matched amplifiers with them. But, there is a cost for that, and it can be a lot all at once. You can literally start with a bottom of the line AV receiver and some $50 speakers, and a $100 subwoofer and that same AV receiver can then power some $1,000 speakers in the future. So, it leads to a nice upgrade path.