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IB Math AA HL Paper 1 TZ0 November 2022 qs 5
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Consider the equation z^4 + pz^3 + 54z^2 - 108z + 80 = 0 where z ∈ C and p ∈ R. Three of the roots of the equation are 3 + i , a and a^2, where a ∈ R.
(a) By considering the product of all the roots of the equation, find the value of a . [4]
(b) Find the value of p.
(a) By considering the product of all the roots of the equation, find the value of a . [4]
(b) Find the value of p.
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