Question

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.

Answer 1

The answer is D, or –2, 1, 4

Hope this helps!! Just got it right on edge 2020 :)

Answer 2

-2, 1, 4.

Explanation:

The given equation is

`x^3-6x=3x^2-8`

It can be written as a system of equations.

`y=x^3-6x`

`y=3x^2-8`

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.