Question

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

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2

Answer 1

It has four choses and you didn't show the right one, answer is 3.

3(3-2)(3+3)=18

3(1)(6)=18

3*6=18

Answer 2

3 is the root of the equation.

Explanation:

We have to find the root of the polynomial equation x(x-2)(x+3)=18.

We can find the same by using a graphing utility and the system of equations.

We can make two equations which are given by

`y=x(x-2)(x+3)....................(1)\\\\y=18`

Now, we plot the graph of these equations and the x-coordinate of the intersection point will be the root of the equation.

the graph has been shown in the attached file.

The intersection point is (3, 18) and the x-coordinate is 3.

Therefore, 3 is the root of the equation.