The function $-x^{5}+36 x^{3}-22 x^{2}-147 x-90$ has the graph given to the right. Use the graph to factor the polynomial. What is the factored form of the polynomial?

Step 1 ：First, we need to find the roots of the polynomial from the graph. The roots are the x-values where the function crosses the x-axis.

Step 2 ：From the graph, we can see that the roots are -3, -2, 1, 3, and 5.

Step 3 ：So, we can write the polynomial as \(-x^{5}+36 x^{3}-22 x^{2}-147 x-90 = -x(x+3)(x+2)(x-1)(x-3)(x-5)\).

Step 4 ：We can check this by expanding the factored form and simplifying to see if we get the original polynomial.

Step 5 ：After checking, we find that the factored form is correct.

Step 6 ：So, the factored form of the polynomial is \(\boxed{-x(x+3)(x+2)(x-1)(x-3)(x-5)}\).