How to write the quotient of complex numbers in standard form

The video tutorial explains how to write a quotient of complex numbers in standard form. It begins by introducing the concept and the need to eliminate the denominator using its conjugate. The tutorial then demonstrates the multiplication of conjugates, highlighting the cancellation of middle terms. It proceeds to simplify the expression by combining like terms and applying algebraic rules, ultimately deriving the final solution in standard form.

What is the first step in writing a quotient of complex numbers in standard form?

• Divide the numerator by the denominator

• Add the numerator and denominator

• Multiply by the conjugate of the denominator

• Subtract the numerator from the denominator

When multiplying by the conjugate, what happens to the middle terms?

• They cancel out

• They double

• They become imaginary

• They remain unchanged

What is the result of multiplying 6 by 2i in the numerator?

• 12i

• 6i

• 12

• 6

How does the imaginary unit 'i' affect the simplification process?

• It is added to the real part

• It is squared to become -1

• It is multiplied by 2

• It is ignored

What is the final result of the quotient in standard form?

• 3 + 2i

• 2 + 4i

• 4 + i

• 5 + 3i