Problem 6 Find polynomial functions P: CC which correspond to the following bijections of the (complex)...

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Problem 6 Find polynomial functions P: CC which correspond to the following bijections of the (complex) plane: (a) Translation to the right by c> 0. (b) Rotation clockwise by an angle > 0. Show that if P: C C given by k P(z) = ajz - j=1 is a polynomial function with k 2 and a 0, then P does not give a bijection of C. Problem 6 Find polynomial functions P: CC which correspond to the following bijections of the (complex) plane: (a) Translation to the right by c> 0. (b) Rotation clockwise by an angle > 0. Show that if P: C C given by k P(z) = ajz - j=1 is a polynomial function with k 2 and a 0, then P does not give a bijection of C.