For all values of x, \( x^{19} + 11x^{17} - 3x^{13}+9x^7 + 17x^3 = (2x^5 - 3x^4 + 7x^3 + 5x^2 -x -3)P(x)\) where P(x) is a polynomial in x. Find the sum of all the coefficients of P(x).
The sum of the coefficients of a polynomial is easily obtained by setting x = 1.