MATH 371 Assignment 1 – Due Wednesday, August 27.

1. Let x = 1 + 3i, y = 1 – 3i, w = -4i, and z = 4. Write each of the following in the form a + bi with a and b real numbers:

i) 2x + 3y – 2iw

ii) x² + y²

iii) xy/w

iv) (z - 2w)(x – y)

2. Show that -3 and 2i are roots of .

3. If z = x + yi where x and y are real numbers then is called the complex conjugate of z. Find .

4. Write in the form a + bi with a and b real numbers.