ch4 roots of polynomials

Question 1

-b/a = ?

Answer 1

Σα

Question 2

Σα = ?

Answer 2

-b/a

Question 3

Σαβ = ?

Answer 3

c/a

Question 4

c/a = ?

Answer 4

Σαβ

Question 5

Σαβν =?

Answer 5

-d/a

Question 6

αβνδ = ?

Answer 6

e/a

Question 7

α^2 + β^2 = ?

Answer 7

(Σα)^2 - 2Σαβ

Question 8

α^2 + β^2 + ν^2 = ?

Answer 8

(Σα)^2 - 2Σαβ

Question 9

α^3 + β^3 = ?

Answer 9

(Σα)^2 -3αβ(α+β)

(Σα)^2 -3ΣαΣαβ

Question 10

α^3 + β^3 + ν^3 = ?

Answer 10

(Σα)^3 - 3(α+β+ν)(αβ+βν+αν) + 3αβν

(Σα)^3 - 3ΣαΣαβ + 3αβν