Question

What are the roots of the polynomial equation x^3 -6x=3x^2-8? Use a graphing calculator and a system of equations.

Answer 1

D

Explanation:

Answer 2

Hence, the roots of the polynomial equation are:

-2, 1, 4

Explanation:

We are asked to find the roots of the polynomial equation:

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

We can also equate this equation to y to obtain a system of equation as:

`y=x^3-6x`

and
`y=3x^2-8`

Hence, the roots of the polynomial; equation are the x-values of the point of intersections of the graph of the system of equations.

Hence, the point of intersection of the two graphs are:

(-2,4), (1,-5) and (4,40)

Hence, the roots of the polynomial equation are:

-2, 1, 4