a. Given that z 1 = i is a root of the equation z 3 + z
Question:
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 the full answer
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Related Book For 
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
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