# 6 - roots so it must be the constant zero polynomial i.e...

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roots, so it must be the constant zero polynomial, i.e. p ( z ) = 0 for all z . Thus ( z - ω 0 ) · · · ( z - ω n - 1 ) = z n - 1 , for all z . (b) This follows immediately be equating the degree n - 1 coe ffi cients in the equation in part (a). (c) This follows immediately by equating the constant, i.e. degree zero, coe ffi cients in the equation of part (a). 3 I.3 2. Recalling that the projection from the sphere to the plane is given by π : ( X, Y, Z ) X 1 - Z + i Y 1 - Z . If P = ( X, Y, Z ), then the projection of - P = ( -
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