Answer:
The root of the polynomial is 3
Explanation:
To find the root of the polynomial x(x-2)(x+3)=18
We can use a graphing utility and the system of equations.
We can have the equations;
y = x(x-2)(x+3) ......(i)
Therefore, from the initial equation;
y = 18 ..................... (ii)
We can then plot the graph using the equations, and the x-coordinate of the point of intersection will be the root of the equation.
From the graph, the x-coordinate is 3, since the intersection point is (3,18).
Therefore; the root of the equation is 3.