Determine the roots of the function:
The following function is given.
$f (x) = x^{3} - 2 x^{2} - 9 x + 18$

Answer

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Answer

Final Answer: The roots of the function are $- 3$ , $3$ , and $2$ .

Steps

Step 1 ：Given the function $f (x) = x^{3} - 2 x^{2} - 9 x + 18$ .

Step 2 ：We need to find the roots of the function, which are the values of x for which $f (x) = 0$ .

Step 3 ：To find these roots, we solve the equation $x^{3} - 2 x^{2} - 9 x + 18 = 0$ .

Step 4 ：The roots of the function are -3, 3, and 2.

Step 5 ：Final Answer: The roots of the function are $- 3$ , $3$ , and $2$ .