Fundamental Theorem of Algebra (Analysis Question Help)
So I'm not sure if I am posting in the right section, but here is my question.
Determine R andθ such that the complex number w=Re^(iθ) satisfies
and verify |P(w)|>8.
I have done similar questions to this but never P(X) starting with imaginary numbers.
I know we are making a contradiction to prove that P(0)=8 is the minimum. And we have to find R and theta to do this, but Im not sure where to start.
Heres what I was thinking.
we need to work around x=0 and w=Re^(iθ) [given]
Subbing in Reiθ for W...
not sure if this is right or what do do for here, no Idea how to find this R or θ.
Thanks for the help.