Find the area of the shape shown below.
2 answers:
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Answer:
The roots of f(x) are: -2, 3, (1+3i) and (1-3i)
Step-by-step explanation:
We are given an expression:
(1+3i) is a root of f(x)
We have to find the remaining roots of f(x).
Since, (1+3i) is a root of f(x),
is a factor of given expression.
Now, we check if (1 - 3i) is a root of given function.
Thus, (1-3i) is also a root of given function.
Since, (1-3i) is a root of f(x),
is a factor of given expression.
Thus, we can write:
Dividing f(x) by above expression:
To find the root, we equate it to zero:
Thus, the roots of f(x) are: -2, 3, (1+3i) and (1-3i)