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:

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step 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