Henry has a bag containing 39 letter tiles, some consonants, and some vowels. He selects a tile without looking and then replace
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We can see that the graph touches without crossing the x-axis (i.e. it is a double solution), and then there's another zero at
(this time it's a crossing zero, so a single solution).
This leads, up to multiple, to the polynomial
If we impose the passing through we have
So, the polynomial is
Finally, to solve , simply look at the graph, searching for the points, where the graph is below the x-axis. You can see that this happens only if
, so that's the solution to your question.