Caon someone help me understand how to calculate the roots of polynomials?
Here is the question.
Let α, β, γ, and δ be roots of the polynomial equation:
x^4 + 5x^3 + 3x^2 – x + 2 = 0
Calculate the exact values of:
α^2 + β^2 + γ^2 + δ^2;
α^-1 + β^-1 + γ-1 + δ^-1;
α^3 + β^3 + γ^3 + δ^3.