Well, that depends on where they're coming from. If it's a text box they just fill in with "keyword searchword otherword" à la Google then it's just a matter of
$words=explode(' ',$_POST['textfield']);
Actually, I'd play it safer and catch multiple consecutive blank spaces by using:
$rawwords=preg_split(' ', $_POST['textfield'], -1, PREG_SPLIT_NOEMPTY); // See the manual to find out what all that means.
And then weeding out nonwords with
$words=array();
foreach($rawwords as $word)
{
if($word really is a genuine word)
{$words[]=$word;
}}