Just go in reverse. Get two brackets,put stuff in them,multiply them out and a fresh,warm,slightly slimy 'polynomial' will land with a plop at your feet. Like this:

( )( ) put stuff like x+3 and x-5 0r any ding dang number as long as it has 'x' in each 'bracket'

The thing will only be solvable if it cuts,or at least touches,the 'x' axis . .so keep trying until you fluke one . .

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