For the polynomial below, 3 is a zero.
$g (x) = x^{3} + 2 x^{2} - 9 x - 18$

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Answer

Final Answer: $0$

Steps

Step 1 ：The given polynomial is $g (x) = x^{3} + 2 x^{2} - 9 x - 18$ .

Step 2 ：It is stated that 3 is a zero of the polynomial. This means that if we substitute x = 3 into the polynomial, the result should be zero.

Step 3 ：Let's substitute x = 3 into the polynomial and check if the result is zero.

Step 4 ：After substituting x = 3 into the polynomial, we get $g (3) = 3^{3} + 2 * 3^{2} - 9 * 3 - 18 = 0$ .

Step 5 ：This confirms that 3 is indeed a zero of the polynomial.

Step 6 ：Final Answer: $0$