Controlling Wild Carrot (Daucus Carota) or Queen Annes Lace?

The field behind my yard was full of this last year and i had seedlings popping up all over the place. I was out there pulling some of them today and there are a lot of plants with roots a centimeter thick at the top and the few that i managed to pull out were 6 inches long.
According to the information i've found online, these weeds grow for a year and seed in their second year after which they die. But what about their ability to regrow from their taproot if they never get a chance to seed?
I'm wondering if i can just go and cut each of them off right at grass level with a garden knife and not bother trying to pull up the root. That would be very easy and go really really quick compared to trying to pull up each one by the root. Will this effectivly kill them or will they continue regrowing year after year from their taproot until they get a chance to seed... and then die?
I'll continue to get the dandilions roots completely. Damn those are annoying.
Any thoughts appreciated.
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On Mon, 19 Apr 2004 14:19:24 -0500, kevins_news2 wrote:

I had a couple of acres that was predominately this stuff when I bought my house. I bush hogged it in mid to late summer last year and have kept it mowed at least once a month during growing season since. This seems to have eliminated them.
Evidentally there was some fescue in there too, it is now the predominate growth.
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