Answer
$-1(x-6)(x+4)$
Work Step by Step
$-x^2+2x+24$
$-1*(x^2-2x-24)$
Factors of -24: 1 and -24, 2 and -12, 3 and -8, 4 and -6, 6 and -4, 8 and -3, 12 and -2, 24 and -1
$(x^2-2x-24)$
$(x-6)(x+4)$
$x*x+x*4+x*-6+4*-6$
$x^2+4x-6x-24$
$x^2-2x-24$
$-1(x-6)(x+4)$