Multiplying Complex Numbers: Introduction and Examples

The video tutorial covers the multiplication of polynomials and complex numbers. It begins with a review of polynomial multiplication using the distributive property, then introduces the imaginary unit i, explaining its properties. The tutorial demonstrates how to multiply complex numbers by treating i as a variable and replacing i squared with -1. It concludes with an example of multiplying complex numbers with multiple terms, emphasizing the importance of combining like terms.

What is the result of multiplying 4x by 3x?

• 7x squared

• 7x

• 12x squared

• 12x

What is the value of i squared?

• 0

• 1

• -1

• i

How do you treat 'i' when multiplying complex numbers?

• As a variable

• As a constant

• As a real number

• As a coefficient

When multiplying complex numbers, what should you do when you encounter i squared?

• Replace it with -1

• Replace it with 1

• Leave it as i squared

• Replace it with 0

What is the final result of multiplying (-4 + 3i) by (2 + 5i)?

• 14 - 23i

• 14 + 23i

• -14 - 23i

• -14 + 23i