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?

Expert Solution

Integral domain and units of a Ring.

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

Colby Messinger answered 2 years ago

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Let g(t) = 5t − 3 ln(t 2 ) − 4(t − 2)2 , 0.1 ≤...

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