The polynomial P is given by (z + 2 - 3i) 3 = 2 + 2i. Given
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The polynomial P is given by (z + 2 - 3i)3 = 2 + 2i. Given that ω = z + 2 - 3i, find the roots ω, ω2, ω3 and state, in terms of the z-plane, the value of ω + ω2 + ω3. Sketch the three solutions on an Argand diagram.
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We can rewrite the given polynomial as 2 2i Taking the cube root of both sides we get 2 2i13 This ha...View the full answer
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Related Book For
Cambridge International AS & A Level Further Mathematics Coursebook
ISBN: 9781108403375
1st Edition
Authors: Lee Mckelvey, Martin Crozier
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