Answer:
\((x+8)(x-3)\)
Step-by-step explanation:
To find the factor of :
\(x^2+5x-24\)
Split the middle term 5 as:
+8 -3 = 5 which is one of the factor of -24
then, we have;
\(x^2+8x-3x-24\)
⇒\(x(x+8)-3(x+8)\)
Take x+8 common we get
⇒\((x+8)(x-3)\)
Therefore, the factor of \(x^2+5x-24\) is,\((x+8)(x-3)\)
