What is the factorization of the polynomial graphed below? Assume it has no constant factor. Write each factor as a polynomial in descending order.

(x+4)(x-4)

Step-by-step explanation:

If a graph intersect the x- axis at a point x=a, then the polynomial can be factored as (x-a).

Because the graph crosses the x- axis at x=-4 and x=4, then the two factors are (x+4) and (x-4).

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.

slope intercept form is y = mx + b