The line \(y=4x-3\) meets the curve \(y=3+5x-2x^2\) at the points \(A\) and \(B\).

(a) Find the coordinates of \(A\) and \(B\).

(b) The perpendicular bisector of the line \(AB\) cuts the coordinate axes at the points \(P\) and \(Q\). Given that \(O\) is the origin, find the area of triangle \(POQ\).