Question

Carlos graphed the system of equations that can be used to solve x^3 - 2x^2 + 5x - 6 = -4x^2 + 14x + 12

What are the roots of the polynomial equation?
–3, –2, 3
–3, 2
18, 32
18, 32, 66

Answer 1

-3,-2,3

Explanation:

edge

Answer 2

The roots are
`-3,-2,3`

Explanation:

Let
`f(x)=x^3-2x^2+5x-6` and
`g(x)=-4x^2+14x+12`.

The graph of the two functions are in the attachment.

The x-values of the points of intersection are the roots of the polynomial equation.

`x^3-2x^2+5x-6=-4x^2+14x+12`

The roots are

`-3,-2,3`