My question gives a polynomal with a degree of 16:
y = 1/288 (x-3)^2 (x+2)^3 (x+1)^9 (x-4)^2
So the polynomial crosses the x axis at point:
3 two times
-2 three times
-1 nine times
4 two times
My question is how the graph would look like. I guessed that since there really is only 4 x-intercepts and that the rest just overlap, that it's a quartic function, therefore giving the shape M.
But then it's a 16 degree polynomial so it doesnt make sense, is it a combination of quartics and cubics? Can someone help?