f(rr,-y)= I 372 2y 337-2; $21; 292 2:02;? (1) (a) Factor the function f (T) into a product of three binomials. For example, if g(3:,-y) : :r 3:2 + y + 233-]; + 12y y2 :ryz, you would rewrite the function into 9(Iay) : (a? y)(y 1X97 + 1) (b) Find all the critical points and classify them as minima.1 maxima, or saddle points using the derivative tests. You must show all your work for computing the derivatives by hand, or you will not get credit. (c) Use computer plotting tools to visualize the function. Describe in words what goes on around each of the critical points