What is the root of the polynomial equation x(x-2)(x+3)=18

The root of the polynomial is 3

Step-by-step 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.

c

step-by-step explanation: