MHB Solve Part (b) of Nonzero Polynomials | Help Needed

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The discussion centers on solving part (b) of a problem related to nonzero polynomials, with the user seeking assistance after successfully completing part (a). The fundamental theorem of algebra is suggested as a key concept for approaching part (b). The user expresses uncertainty about the structure of the polynomial required for this part of the problem. Participants are encouraged to provide insights or guidance on how to tackle this specific polynomial challenge. The thread emphasizes the need for clarification on polynomial characteristics in relation to the theorem.
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Hi all, I have solved part (a) which require verification if it is correct.

However, for part b, I am not sure how to do. Appreciate your help. Thank you.
 

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Hint: fundamental theorem of algebra, I think. What would such a polynomial have to look like?
 

Thread 'Confusion about the Moyal-Weyl twist'

I am studying the mathematical formalism behind non-commutative geometry approach to quantum gravity. I was reading about Hopf algebras and their Drinfeld twist with a specific example of the Moyal-Weyl twist defined as F=exp(-iλ/2θ^(μν)∂_μ⊗∂_ν) where λ is a constant parametar and θ antisymmetric constant tensor. {∂_μ} is the basis of the tangent vector space over the underlying spacetime Now, from my understanding the enveloping algebra which appears in the definition of the Hopf algebra...
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