1. The problem statement, all variables and given/known data The curve C with equation y = f(x) passes through the point (5, 65). Given that f'(x) = 6x2 -10x - 12, a) use integration to find f(x) b) Hence show that f(x) = x(2x+3)(x-4) 3. The attempt at a solution I have no problem with this question, except it seems the given function for b) might be wrong or at least not complete. a) integrated for y = 2x3 - 5x2 - 12x + c 65 = 2(5)3 - 5(5)2 - 12(5) + c = 200 - 125 - 60 + c = 15 + c. 65 - 15 = 50 = c, Therefore y = 2x3 - 5x2 - 12x + 50. b) Taking out x, we get x(2x2 - 5x - 12) + 50. This factors into x(2x+3)(x-4) + 50. So the given function is missing the +50. My fault or printing error?