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Complex Numbers Quiz

Test your understanding of complex numbers with the following questions. Each question requires a precise answer, so be sure to think critically!

Questions

  1. Define a complex number and provide an example.

  2. What is the imaginary unit, and how is it represented mathematically?

  3. Explain how to add two complex numbers, and perform the addition of (3 + 4i) and (2 - 5i).

  4. Describe the process of multiplying two complex numbers, and calculate the product of (1 + 2i) and (3 - 4i).

  5. What is the polar form of a complex number, and how would you convert the complex number 3 + 4i into polar form?

Instructions:

Please write out your answers clearly. Each question is designed to test your comprehension of complex numbers and their operations. Good luck!