has 3 roots. If they all satisfy It means they are all equal to or
A third degree polynomial of this form can be constructed by the following method.
Where are the roots of the polynomial.
Is this enough to get you started?
Hi, I'm having trouble solving part c of the following question.
Let where a is a real constant.
a. Show that
This part I'm fine with as
b. Find the values of for which
I get for this part.
c. Let where and are non-zero real constants. If for and all roots of satisfy , find the values of and and show that these are the only possible values.
Stuck on this part of the question...
Thanks for your help!