The expression x4 + 6x3 – 11x2 – 60x + 100 is equivalent to (x – 2)(x – 2)(x + 5)(x + 5). at what points does the graph of the function f(x) = x4 + 6x3 – 11x2 – 60x + 100 intersect the x-axis?

Since y equals the product of the factors, any value for x which makes any factor equal to zero is a point where the graph touches the x-axis.

x=-5 and 2  (technically the points (-5,0) and (2,0))