(Solved):   5. Draw the sign chart of the polynomial function \( y=x^{1001}(x-3)^{1002}(x+2)^{1003} \) ...

 

5. Draw the sign chart of the polynomial function \( y=x^{1001}(x-3)^{1002}(x+2)^{1003} \) Give the reason for the signs chosen. 6. Following is the (incomplete) sign chart of a factorable polynomial with its roots and their orders. Complete the sign-chart and write down a (any) polynomial in the factored form with the given sign chart and sketch its graph.