Answer:
The factors of [tex]x^{2} +5x -24[/tex] are option D
D) (x+8)(x-3)
Step-by-step explanation:
Given:
[tex]x^{2} +5x -24[/tex]
To Find:
Factors of [tex]x^{2} +5x -24[/tex]
Solution:
First remove the factors for -24 such that if you added you will get +5.
We will have 8 and -3
8 × -3 = -24
8 + (- 3) = 5
Now by splitting the middle term in the equation we get
[tex]x^{2} +5x -24 = x^{2}+8x-3x -24\\x^{2} +5x -24 = x(x+8)-3(x+8)\ \textrm{taking x and -3 common}\\x^{2} +5x -24 = (x+8)(x-3)\ \textrm{which is required answer}[/tex]
