# Let $$\displaystyle{x}^{{2}}-{m}{x}+{24}$$ be a quadratic with roots

Let ${x}^{2}-mx+24$ be a quadratic with roots . If are integers, how many different values of m are possible?
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Melody Gamble
$24={2}^{3}3$
So, the number of positive factors are $\left(1+1\right)\left(3+1\right)$
which will just be doubled if we permit negative factors