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Given that the polynomial $x^2-kx+16$ has only positive integer roots, find the average of all distinct possibilities for $k$.

 

Thank you! :DDDD

 Feb 16, 2021
 #1
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(x-1)(x-16)         roots  + 1    +16       k =17

(x-2)(x-8)                                           k = 10

(x-4)(x-4)                                           k = 8                  add 'em up and find the average

 Feb 16, 2021
 #2
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OOh ok TYSM!

 Feb 16, 2021

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