Answer:
The root of the polynomial equation x(x-2)(x+3)=18 is x=3
Explanation:
x(x-2)(x+3)=18
Dividing both sides of the equation by x:
x(x-2)(x+3)/x=18/x
(x-2)(x+3)=18/x
We can use this system of equations:
(1) y=(x-2)(x+3)
(2) y=18/x
And using a graphing calculator we get:
x=3, y=6 → Point=(x,y)=(3,6)
Answer: The root of the polynomial equation x(x-2)(x+3)=18 is x=3