Exploring Operations with Complex Numbers

What is the main focus of this tutorial?

• Operations on complex numbers

• Solving quadratic equations

• Graphing linear equations

• Understanding real numbers

How do you add the complex numbers Z1 = 3 + 2i and Z2 = 4 - 3i?

• 7 + 5i

• 7 - i

• 1 - i

• 1 + 5i

What is the result of subtracting Z2 from Z1, where Z1 = 3 + 2i and Z2 = 4 - 3i?

• -1 - 5i

• 1 + 5i

• 1 - 5i

• -1 + 5i

What is the result of multiplying Z1 = 3 + 2i by 5?

• 15 + 10i

• 10 + 15i

• 5 + 6i

• 6 + 5i

What is the value of i^2?

• -i

• i

• -1

• 1

What is the result of multiplying Z1 = 3 + 2i by Z2 = 4 - 3i?

• 18 + i

• 18 - i

• 12 + i

• 12 - i

What is the value of i^3?

• -i

• 1

• i

• -1

What is the value of i^4?

• 1

• -1

• -i

• i

What is the result of 2i^8 - 3i^2?

• 9

• -9

• -11

• 11

Which method is suggested for expanding (3 - 2i)^4?

• Binomial expansion

• Graphical method

• Long multiplication

• Synthetic division