Complex Numbers, EXT2 N2 2019 HSC 16b Let , where and are real numbers. The roots of are . It is given that and . Show that . (3 marks) --- 8 WORK AREA LINES (style=lined) --- The diagram shows the position of . On the diagram, accurately show all possible positions of . (2 marks) --- 0 WORK AREA LINES (style=lined) --- Show Answers Only Show Worked Solution i. ♦♦ Mean mark part (i) 26%. ii. ♦♦♦ Mean mark part (ii) 10%.
Complex Numbers, EXT2 N2 2017 HSC 1 MC The complex number is chosen so that form the vertices of the regular polygon shown. Which polynomial equation has all of these complex numbers as roots? Show Answers Only Show Worked Solution