Question

Suppose that the polynomial f(x) = x⁵ - x⁴ - 4x³ + 2x² + 4x + 1 has 5 solutions x₁; x₂; x₃; x₄; x₅. The other polynomial k(x) = x² - 4. 
Find the value of P = k(x₁) x k(x₂) x k(x₃) x k(x₄) x k(x₅)
Answer: P = .............