Synthetic - prepared or made artificially
Organic - matter that has come from a once-living organism;
I understand all of those words, but I think they're too non-specific for me to give a useful answer.
How do you get "matter" from a once living organism? Are we talking something like hair from an Angora rabbit, carefully brushed off as it shed and spun into yarn? Because I can practically guarantee no life from on this planet sheds benzotriazolyl dodecyl p-cresol. Maybe some plants do produce weaping tears of p-cresol, but we usually still chemically process it, at least to get the wood and dead bugs out. Would that still count?
And something that has a component that is natural that is then separately linked to another natural component in a laboratory counts as which? This is so common, we have to identify it, or maybe come up with a new term.
I've noticed before, that Tom's of Main brand natural toothpaste listed all of its ingredients as natural, even the fluoride additive, at the time, was calcium fluoride, naturally mined. That seemed a little silly to me -- a rock is a rock, and that's what calcium fluoride is.
For more examples, how does everything on this page here look to you:
http://www.tomsofmaine.com/products/ingredient-list