Question

How to find the 3rd degree polynomial data is given by?

Answer 1

1) 5, 2i
-2i must also be a root.
f(x) = (x-5)(x-2i)(x+2i) 
= (x-5)(x^2+4)
---------
2)-7, i
-i must also be a root.
f(x) = (x+7)(x-i)(x+i)
= (x+7)(x^2+1)
-------------------- 
3)6, 3-2i
3+2i mult also be a root.
f(x) (x-6)[(x-3)+2i][(x-3)-2i]
= (x-6)[(x-3)^2+4]
= (x-6)(x^2-6x+13)

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Answer 2

Answer:

maximum degree

hope it will help you