A polynomial equation is given as z 5 - 1 = 0. a. Show that I is
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A polynomial equation is given as z5 - 1 = 0.
a. Show that I is one root, then factorise your polynomial into the form (z - 1)f(z) = 0, where f(z) is to be stated.
b. Using the four complex solutions, show that cos 2π/5 + cos 4π/5 = -1/2.
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a We need to find a fifth root k of the polynomial where z5 1 z 1z4 z2 1z2 z 1 z2 z 1 0 0 k1k1 0 kk1 ...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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