Roots of Polynomials

Question 1

E alpha

Answer 1

-b/a

Question 2

E alphabeta

Answer 2

c/a

Question 3

E alphabetagamma

Answer 3

-d/a

Question 4

E alphabetagammadelta

Answer 4

e/a

Question 5

Sum of squares for roots

Answer 5

E a^2 = (Ea)^2 - 2EaB

Question 6

Sum of cubes for roots

Answer 6

E a^3 = (Ea)^3 - 3EaBEa + 3aBy

Question 7

Transformation of roots in roots of polynomials

Answer 7

Replace root with x and set equal to u. Set x as the subject then sub in. SOlve as normal root of polynomial