so x^2+8x-48
it can be written in the form
ax^2+bx+c
so since the 'a' term=1 we want it in form
(x +/- something1 )(x +/- something2 )
so basically, something1 times something 2=c and something 1+something 2=b
c=-48
b=8
factor -48 and fiind what 2 factors add to 8 (obviously one has to be positive and is 8 more than the negative [negative is smaller])
-48=
-1 times 48 no
-2 times 24 no
-3 times 16 no
-4 times 12 yes
-4+12=8
therefor it is
(x-4)(x+12) or (x+12)(x-4)
so the answer would be the one with either (x+12) or (x-4) (since you didn't include answer choices)
(x+12) or (x-4) would be the right choice
