a. Write down the sixth roots of unity in exponential form. b. State the two real roots.

Question:

a. Write down the sixth roots of unity in exponential form.

b. State the two real roots.

c. The polynomial z6 - 1 = 0 can be written as the product of two linear factors and two quadratic factors. Show that one of the quadratic factors is z2 - z + 1 and find the other one.

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