Answer:
3 is the root of the equation.
Step-by-step explanation:
We have to find the root of the polynomial equation x(x-2)(x+3)=18.
We can find the same by using a graphing utility and the system of equations.
We can make two equations which are given by
\(y=x(x-2)(x+3)....................(1)\\\\y=18\)
Now, we plot the graph of these equations and the x-coordinate of the intersection point will be the root of the equation.
the graph has been shown in the attached file.
The intersection point is (3, 18) and the x-coordinate is 3.
Therefore, 3 is the root of the equation.
