Tutorial - Dividing complex numbers ex 22, (4 - 3i)/(-1 - 4i)

The video tutorial explains how to divide complex numbers by using the conjugate method. It begins with an introduction to the concept of conjugates and their role in simplifying complex fractions. The instructor demonstrates how to multiply binomials using both the FOIL and box methods. The tutorial then focuses on simplifying the numerator and calculating the denominator of the complex fraction. Finally, the results are combined to form the final complex number in the form of a + bi. The video concludes with a summary of the steps involved in dividing complex numbers.

What is the purpose of multiplying by the conjugate when dividing complex numbers?

• To make the numerator and denominator equal

• To eliminate the imaginary part in the numerator

• To simplify the expression by removing negatives

• To ensure the denominator is a real number

Which method is used to multiply the terms in the numerator?

• Cross multiplication

• FOIL method

• Substitution method

• Box method

What is the result of multiplying 4 and -1 in the FOIL method?

• -1

• 0

• -4

• 4

How is the area of a rectangle found in the box method?

• By adding length and width

• By subtracting width from length

• By multiplying length and width

• By dividing length by width

What is the final form of the complex number after division?

• 19/8 + 17i

• 17 + 8i

• 8 + 19i

• 8/17 + 19i/17