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**realintegerz** The function f, which is actually called f(x) has 3 roots

so when it says f(-3) = 0

that means at x = -3, there is no y value, so that is one point

the same goes for 1 and 4, those are also "zeroes" which are places where the function, f, touches the x-axis

and as for f(0) = 4, another point is at (0,4)

Now, from these zeroes, -3, 1, and 4, we can get the equation which is

(x+3)(x-1)(x-4)

And so when you multiply it out you get an x^3, which means it is a third degree polynomial, always remember that the highest exponent tells you how many roots/"zeroes" there are and what degree the equation is

I can't explain why it is, but if anyone here can, please feel free to do so...