Answer
Answers may vary, but these are three possible answers.
$10, -11, -14$
Work Step by Step
$x^2+10x+24$
$x^2+4x+6x+24$
$x(x+4)+6(x+4)$
$(x+4)(x+6)$
$x^2-11x+24$
$x^2-3x-8x+24$
$x(x-3)-8(x-3)$
$(x-8)(x-3)$
$x^2-14x+24$
$x^2-12x-2x+24$
$x(x-12)-2(x-12)$
$(x-2)(x-12)$