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 f cients in the equation in part (a). (c) This follows immediately by equating the constant, i.e. degree zero, coe f 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 =( - X, - Y, - Z ) is - X 1+
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This note was uploaded on 07/27/2010 for the course MATH Math2009 taught by Professor Koskesh during the Spring '09 term at SUNY Empire State.

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