Answer :
Answer:
4(x - 3)(x + 2)
Step-by-step explanation:
Given
4x² - 4x - 24 ← factor out 4 from each term
= 4(x² - x - 6) ← factor the quadratic
= 4(x - 3)(x + 2)
[tex] \huge\boxed{ \underline{ \mathbf{Answer :}}}[/tex]
[tex]\hookrightarrow4 {x }^{2} - 4x - 24[/tex]
[tex]\hookrightarrow4 {x}^{2} - 12x + 8x - 24[/tex]
[tex]\hookrightarrow4x(x - 3) + 8(x - 3)[/tex]
[tex]\hookrightarrow(4x + 8)(x - 3)[/tex]