2)

The polynomial is .

The given factors of the polynomial are .

Since factors of a polynomial also divides the polynomial.

So, equate the factors to zero and find the roots of the polynomial.

.

The roots of the polynomial are .

Now we have .

Let

Let

Solve equation (1) and (2) for the values of p, q.

Subtract equation (2) from (1).

Substitute in equation (1) and find q.

So, the value of p  and q  is respectively.