Tutorial - Dividing complex numbers ex 20, (7 + 4i)/(2 - 3i)

The video tutorial explains how to handle binomials in the denominator by multiplying with the conjugate. It introduces the box method to simplify the multiplication of complex numbers, focusing on both the numerator and the denominator. The tutorial demonstrates how to simplify expressions by combining like terms and rewriting i squared as -1. The final result is presented in the form of a complex number, ensuring clarity and understanding of the process.

What is the purpose of multiplying a binomial by its conjugate?

• To simplify the binomial expression

• To eliminate the binomial in the numerator

• To increase the value of the binomial

• To eliminate the binomial in the denominator

Which method is suggested for multiplying binomials if you are unsure of special products?

• The FOIL method

• The box method

• The distributive property

• The quadratic formula

What is the result of combining the terms 21 + 8i?

• 13i

• 29i

• 8i

• 21i

How is the term 12i squared simplified in the context of this problem?

• As 24

• As -12

• As 12

• As 0

What is the final form of the answer after dividing by 13?

• 2 + 29i

• 2/13 + 29i/13

• 13 + 29i

• 2 + 13i