Given that the polynomial $x^2-kx+16$ has only positive integer roots, find the average of all distinct possibilities for $k$.
Question:
Given that the polynomial $x^2-kx+16$ has only positive integer roots, find the average of all distinct possibilities for $k$.
Answer:
Let's think step by step.

user
\frac{35}{3}
Given that the polynomial $x^2-kx+16$ has only positive integer roots, find the average of all distinct possibilities for $k$.
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