Let http://stuff.daniel15.com/cgi-bin/mathtex.cgi?P%28x%29 be a polynomial with real coefficients. Show that there exists a nonzero polynomial http://stuff.daniel15.com/cgi-bin/mathtex.cgi?Q%28x%29 with real coefficients such that http://stuff.daniel15.com/cgi-bin/ma...28x%29Q%28x%29 has terms that are all of a degree divisible by http://stuff.daniel15.com/cgi-bin/mathtex.cgi?10%5E9.