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. >.>