Question

which is a factor of x2 5x − 24?

Answer 1

Factors of -24 that add up to 5

8 and -3

(x + 8)(x - 3)

Answer 2

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,$(x+8)(x-3)$