The quotient of a complex number and 3i is 11 - 2i. Find the missing complex number
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We know for our problem that the zeroes of our quadratic equation are 
and 
, which means that the solutions for our equation are 
and 
. We are going to use those solutions to express our quadratic equation in the form 
; to do that we will use the <span>zero factor property in reverse:
</span>
<span>
</span>
<span>
Now, we can multiply the left sides of our equations:
</span>
<span>= </span>
=
=
Now that we have our quadratic in the form, we can infer that 
and 
; therefore, we can conclude that 
.
</span>
<span>
</span>
<span>
Now, we can multiply the left sides of our equations:
</span>
<span>= </span>
=
=
Now that we have our quadratic in the form