The polynomial f(x) satisfies the equation f(x)-f( x-2 ) = ( 2x-1)2 for all x. If p and q are the coefficients of x2 and x, respectively, in f(x), the what is the value of p+q?
This was answered here: https://web2.0calc.com/questions/what-is-the-value-of-p-q, where I interpreted the RHS of your equation as (2x - 1)*2. If the RHS is meant to be (2x - 1)^2 you should be able to use the same technique to complete the problem.