Answer:
The factors are,
x + 12 and x - 2
Explanation:
x^2 + 10x - 24,
Here, we note that,
12 - 2 = 10,
and (12)(-2) = 24,
so, we can re-write 10x as 10x = 12x - 2x
so,

Taking x common from the 1st two terms (x^2 and 12x),
and taking -2 common from the last two tems (-2x and -24), we get,

So, The factors are,
x + 12 and x - 2