So let's dissect this problem, with the info we are given.

The degree of the polynomial is three, which means that there is at most ax^3, a being a coefficient, typically just one.

The problem tells you a set of coordinates, in a different manner. Instead of (x,y)... they give it to you in a statement.

The simplest way to think about this is the template f(x) = y.

OR

Stating if the function plugs in x then it equals y,

OR (how you will hear it most commonly in class)

"f of x" (fancy way of saying f(x) but comes in handy) equals y coordinate.

"If f(-1) = 15" means the ordered pair (-1,15)

"f(1) = 5" means (1,5)

"f(2) = 12" means (2,12)

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The question is asking to find x intercepts which means you'll be factoring your polynomia when you find out what it even... is.

To do this, think of how a graph x^3 is graphed, just for visually plotting all your points.

I'm sure someone else can continue this because, I am short on time.

Hope this helps in some regard c:

P.M. me if you need more assistance, I'm always on my computer and can always use a math break. Except that's oxymoron to what I just mentioned. You get the point. >.>