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Multiplication of complex numbers:
Example 1:
Combine the subsequent complex numbers:
(4 + 3i) + (8 - 2i) - (7 + 3i) =
Solution:
(4 + 3i) + (8 - 2i) - (7 + 3i) = (4 + 8 - 7) + (3 - 2 - 3)i
= 5 - 2i
Example 2:
Multiply the subsequent complex numbers: (3 + 5i)(6 - 2i)=
(3 + 5i)(6 - 2i) = 18 + 30i - 6i - 10i2
= 18 + 24i - 10(-1)
= 28 + 24i
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First, see that the right hand side of equation (2) is a polynomial and thus continuous. This implies that this can only change sign if this firstly goes by zero. Therefore, if the
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