Multiplying Complex Numbers and Box Method

The video tutorial explains how to multiply complex numbers by treating the imaginary unit i as a variable, similar to x. It introduces the box method for organizing multiplication of binomials and demonstrates how to replace variables with i. The tutorial emphasizes the importance of understanding that i^2 equals -1 when evaluating expressions, leading to the final result of the multiplication.

What is the first step when multiplying complex numbers?

• Use the distributive property.

• Treat 'i' as a variable.

• Ignore the imaginary unit 'i'.

• Treat 'i' as a constant.

What is the purpose of using a box method in multiplication?

• To add terms together.

• To simplify the expression.

• To eliminate variables.

• To organize the multiplication process.

When using the box method, what do you multiply to fill each box?

• The difference of the terms.

• The sum of the terms.

• The square of each term.

• The length and width of each box.

What is the result of multiplying 7 by -3x using the box method?

• -21x

• 21x

• -18x

• 18x

What is the result of multiplying -6x by -3x?

• -9x^2

• 18x^2

• 9x^2

• -18x^2

What is the result of multiplying 2 by -6x using the box method?

• -12x

• 12x

• 8x

• -8x

What is the result of multiplying 7 by 2 using the box method?

• 9

• 12

• 14

• 16

What is the result of multiplying -6x by -3x using the box method?

• -18x^2

• 18x^2

• 9x^2

• -9x^2

What is the result of multiplying 7 by -3x using the box method?

• 18x

• -21x

• -18x

• 21x

What is the result of multiplying 2 by -6x using the box method?

• 12x

• -12x

• 8x

• -8x