Respuesta :

SOLUTION

The given equation is

[tex]x^3+3x^2-16x-48=0[/tex]

From the given graph, one of the solution of the equation is

[tex]x=4[/tex]

Since x=4 is a solution to the equation it follows that x-4 is a factor

The given equatin can be simplified as

[tex]x^3+3x^2-16x-48=(x-4)(x+4)(x+3)[/tex]

Therefefore other solutions are

[tex]x=-4,x=-3[/tex]