Question 183
Given that the polynomial $P(x) = x^{5} - x^{2} + 1$ has $5$ roots $r_{1}, r_{2}, r_{3}, r_{4}, r_{5}$. Find the value of the product
$$
Q(r_{1}) Q(r_{2}) Q(r_{3}) Q(r_{4}) Q(r_{5}),
$$
where $Q(x) = x^{2} + 1$.
$$
Q(r_{1}) Q(r_{2}) Q(r_{3}) Q(r_{4}) Q(r_{5}),
$$
where $Q(x) = x^{2} + 1$.