Pre-Calculus-How to divide complex numbers by multiply by the conjugate of denominator, (3-i)/(2+i)

The video tutorial explains how to divide complex numbers by using the conjugate to eliminate the imaginary part from the denominator. It demonstrates the process through the FOIL method, leading to the simplification of the expression. The tutorial concludes with dividing the simplified expression by a common factor.

What is the primary goal when dividing complex numbers?

• To remove the imaginary unit from the denominator

• To add the imaginary unit to the numerator

• To convert the complex number to a real number

• To multiply both parts by the same number

What mathematical concept is used when multiplying by the conjugate?

• Difference of squares

• Sum of cubes

• Product of powers

• Sum of squares

Which method is used to multiply complex numbers in this tutorial?

• Long division

• Cross multiplication

• FOIL method

• Matrix multiplication

What is the result of multiplying 3 - i by 2 - i using the FOIL method?

• 6 - 5i

• 5 + 5i

• 4 + 5i

• 5 - 5i

What is the final simplified form of the division in the tutorial?

• 2 - i

• 1 + i

• 1 - i

• 2 + i