Roots of polynomials

Question 1

A^2 + B ^2 =

Answer 1

(a+bi) (a-bi)

Question 2

If all of the coefficients are real…

Answer 2

F(z) =0 and F(z*) =0

Question 3

For ax^2 + Bx + C = 0 with roots p and q
P+Q=

Answer 3

• b÷a

Question 4

For ax^3 + Bx^2 + Cx + D= 0 with roots p, q anr r
P+Q+R=

Answer 4

-b÷a

Question 5

For ax^2 + B + C = 0 with roots p and q
PQ=

Answer 5

C÷a

Question 6

PQ + PR +QR

Answer 6

C÷a

Question 7

PQR =

Answer 7

-d÷a

Question 8

If you substitute the roots x=4u the new roots become..

Answer 8

4p and 4q