By evaluating the quadratic expression at each real number, we conclude that x = 0 is a solution (root) to (x - 3) · (x + 9) = -27. (Correct choice: C)
How to find the roots of a given polynomic expression
In this question we must find a solution for a polynomic expression. There are several approaches to find them. Since we have a polynomic expression as a product of binomials, we can determine the solution by evaluating at each choice:
x = 0
(0 - 3) · (0 + 9) = -27
(-3) · 9 = -27
-27 = -27
By evaluating the quadratic expression at each real number, we conclude that x = 0 is a solution (root) to (x - 3) · (x + 9) = -27. (Correct choice: C)
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