The pоlynоmiаl is pаsses thrоugh the points (4,2) аnd (1,5) and has two extreme points (zero slope) at The slope of the polynomial is a) (5 pts) Derive the coefficients of a third-order polynomial. You may work on your scratch paper and provide the value of below b. (15 pts) Use MATLAB to solve for the coefficients and plot the polynomial over the interval , with the grid on. (use polyval for the value of y)