For the polynomial x 4 + ax 3 + bx 2 + c = 0, with roots

Question:

For the polynomial x4 + ax3 + bx2 + c = 0, with roots α, β, γ and δ it is given that α + β + γ + δ = 2, αβγδ = 1 and α2 + β2 + γ2 + δ2 = 0. Find the values of the coefficients a, b and c.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: