9
2
10
3

**
This section requires Javascript.
**

You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.

The first question you would need to ask is, "What is $f(1)$ ?" This gives the sum of the coefficients of the polynomial. Because the coefficients are non-negative, we know that the largest coefficient is no more than $f(1)$ . Next, we choose a number larger than $f(1)$ (call it $k$ ) and ask "What is $f(k)$ ?" After we're given an answer, we can convert that result into base $k$ . The $n$ th block will give us the coefficient of $x^n$ .