9th degree polynomial with a positive leading coefficient; quadruple root at x = -1; double root at x = 0; and triple root at x = 4. So
(1) function value is negative for large negative values of x;
(2) quadruple root (even degree) at x=-1, so the graph touches the x-axis there but the function value then remains negative;
(3) double root (again even degree) at x=0, so again the graph touches the x-axis there and then the function value again remains negative;
(4) triple root (odd degree) at x=4, so the graph crosses the x-axis there and the function value becomes positive
There are no roots larger than x=4, so the function value then remains positive to the right of that point.
