The point that represents the quotient [tex]\frac{3 - i}{i}[/tex] is (C)
The quotient is given as:
[tex]Quotient = \frac{3 - i}{i}[/tex]
Rationalize the expression
[tex]Quotient = \frac{3 - i}{i} \times \frac ii[/tex]
Expand the above expression
[tex]Quotient = \frac{3i - i^2}{i^2}[/tex]
Evaluate all exponents
[tex]Quotient = \frac{3i - (-1)}{-1}[/tex]
Remove bracket
[tex]Quotient = \frac{3i +1}{-1}[/tex]
Rewrite the above expression as follows:
[tex]Quotient = -3i -1[/tex]
Further, rewrite as:
[tex]Quotient = -1-3i[/tex]
In the above expression, the real part is -1, and the imaginary part is -3.
This point is represented by point C, because:
[tex]C = (-1,-3)[/tex]
Hence, the point that represents the quotient [tex]\frac{3 - i}{i}[/tex] is (C)
Read more about complex numbers at:
https://brainly.com/question/2218826
