MATH 225 Spring 2017: Assignment 7 Due at 8:25 a.m. on Friday, June 30, 2017 It is important that you read the assignment submission instructions and suggestions available on LEARN. 1. Evaluate the following expression. Give your answer in standard form. (9 + i)( 2 3i ) (5 + 2i) + (1 7i) Page 1 2. Find all complex roots of p(x) = x4 10x3 + 30x2 40x + 104 given that 2i is a root. Page 2 3. Evaluate the following expression. Give your answer in standard form. (1 + 3 i)8 (1 i)12 Page 3 4. Solve the equation z 5 243i = 0. Give your answer(s) in complex exponential form. Page 4 5. Use de Moivre's formula to show that for all R sin(3) = 3 sin 4 sin3 . Page 5