SEAMO 2026 Paper E SET 2 – Self-practice Question 11

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