Complex Numbers

I. Write the complex number in standard form (i.e. in the form a + b i.)

^1.

2. -5i + 3 i ²

II. Perform the operation and write the result in standard form.

3. (2 + 3i) - (6 -4i)

^4.

5. (2 + 3i)(1 - 5i)

6. 7i(7 - 3i)

7. (3 + 2i)² + (4 - 3i)

III. Write the conjugate of the complex number.

8. 3 + 5i

9. 2 - 6i

10. 15i

IV. Perform the operation and write the result in standard form.

^11.

^12.

^13.

V. Solve the quadratic equations using the Quadratic Formula.

14. 3x² + 9x +7 = 0

15. y² -2y + 2 = 0