Question

What is the root of the polynomial equation X(x-2)(x+3)=18? Use a graphing calculator and a system of equations

Answer 1

Answer: D: 3 Is correct on edg

Explanation:

Answer 2

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