Correct me if i'm wrong but isn't the google search widget not removable by dragging into trash? For the search widget I think you have to Go to settings > apps > all > Google search and tap disable.
However I'm pretty sure you don't get extra screen space.
That's what I thought David. I cleaned everything else of all the pages, Except the Google widget.
I press and hold the widget. The white Google print turns blue and nothing. No x shows up to drag it too. Could not find solution in PDF manual.