What are the roots of the polynomial equation x cubed minus 6 x = 3 x squared minus 8? Use a graphing calculator and a system of equations.

-2, 1, 4.

Step-by-step explanation:

The given equation is

It can be written as a system of equations.

Plot the graph of these equation on a coordinate plane as shown below.

From the graph it is clear that the graph of both curves intersect each other at (-2,4), (1,-5) and (4,40).

The x-coordinates of intersection points are -2,1 and 4.  It means, the given equation is true for -2,1 and 4.

Therefore, the zeroes of given equation are -2,1 and 4.

493 would be the correct answer

step-by-step explanation: