let α ∈ C be a zero of the polynomial t^3 − 4t + 2 =...

let α ∈ C be a zero of the polynomial t^3 − 4t + 2 = 0 and let R = {a1 + bα + cα^2 : a,b,c ∈ Z}. Show that R is a integral domain and

Show that α − 1 and 2α − 1 are units in R. [Hint: what if x = t + 1?

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Expert Solution

Integral domain and units of a Ring.

*I didn't use the hint provided by the question.

Colby Messinger answered 1 year ago

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