Question: a. Given that z 1 = i is a root of the equation z 3 + z 2 + z + k = 0, find

a. Given that z1 = −i is a root of the equation z3 + z2 + z + k = 0, find the value of the constant k.

b. Write down the other complex root of the equation and find the third root, stating whether it is real or complex.

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a Since z1 i is a root of the equation z3 z2 z k 0 we know that z i is a factor of the polynomial We ... View full answer

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