Unformatted text preview:  A 1  =  A 2  and  B 1  =  B 2  then  A 1 \ B 1  =  A 2 \ B 2  . 5. Prove that if a product z 1 Â· z 2 of complex numbers is equal to zero then at least one of z 1 ,z 2 is zero. 6. Let f be the complex polynomial f ( x ) = (3 + i ) x 2 + (26 i ) x + 12 . Find a complex number z such that the equation f ( x ) = z has a unique solution (use the formula for solving a quadratic equation). 7. Find the general form of a complex number z such that: (i) z 2 is a real number (i.e., Im( z 2 ) = 0). (ii) z 2 is a purely imaginary number (i.e., Re( z 2 ) = 0). Also, in each of these cases, plot the answer on the complex plane....
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 Fall '07
 Goren
 Math, Algebra, Complex number, ... ..., Burnside Hall

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