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