Another Dank Polynomial

Algebra Level 5

Let \(a,b,c,d\) be real numbers such that \(b-d \ge 5\) and all zeros \(x_1, x_2, x_3,\) and \(x_4\) of the polynomial \(P(x)=x^4+ax^3+bx^2+cx+d\) are real. Find the smallest value the product \((x_1^2+1)(x_2^2+1)(x_3^2+1)(x_4^2+1)\) can take.

×

Problem Loading...

Note Loading...

Set Loading...