SEAMO 2027 - Paper E - SET 02 - Self-study Question 22

Let $p(x)=x^3+ax^2+bx+c$ have three real roots $x_1,x_2,x_3$. Suppose $a+c=10$ and $b=5$. Find $$(x_1^2-1)(x_2^2-1)(x_3^2-1).$$