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

Answer:

-4,1,3

Step-by-step explanation:

Because they all fit

Answer 2

Answer:

Hence, the roots of the polynomial equation are:

-2, 1, 4

Step-by-step 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