We will do exactly what the question asks and we will Subtract C(x) from R(x) to discover P(x):
P(x) = R(x) - C(x)
P(x) = ([tex]-2x^{2} + 900x - 200[/tex]) - ([tex]400x + 150[/tex])
P(x) = [tex]-2x^{2} + 900x - 400x + 150 - 200 [/tex]
P(x) = [tex]-2x^{2} + 500x - 50 [/tex]
Hope this helps!