6. (12 points) Write the equation of a polynomial function (of lowest degree) with zeros at x = 0, x = -4, and x = 2, such that the graph touches at x = 0 and x = 2, and crosses at x = -4, such that p(1) = -125. (Make sure to show work but you need not expand your polynomial). b. Graph your polynomial from above. You may need to scale the graph. Label clearly. 7. (10 points) For R(x) = (x+2)2(x-3) 4x3-12x a. Find any x-intercepts: b. Find any y-intercepts: c. Find any vertical asymptotes: d. Find the horizontal or the slant asymptote (whichever the function may have)