The point P (1, a) lies on the curve with equation y = (x + 1)(2-x). (a) Find the value of a. (b) On the axes below sketch the curves with the following equations: (i) y = (x+1)(2-x). (ii) 2 x On your diagram show clearly the coordinates of any points at which the curves meet the axes. (c) With reference to your diagram in part (b) state the number of real solutions to the equation 2 (x+1) (2-x)= x