Answer
$B=$ either $\pm 25, \pm14, \pm11,$ or $\pm 10$
Work Step by Step
$x^2+Bx+24$
$a+b=B, ab=24$
$GCF(24, 1)=1, 2, 3, 4, 6, 8, 12, 24$
Thus, either $B=\pm25$
or $B=\pm14$
or $B=\pm11$
or $B=\pm 10$
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