Respuesta :
Answer:
[tex]4x^2-4x-24= 4\left(x+2\right)\left(x-3\right)[/tex]
Step-by-step explanation:
To factor the expression [tex]4x^2-4x-24[/tex] you must:
Factor out common term 4: [tex]4\left(x^2-x-6\right)[/tex]
Now, factor [tex]x^2-x-6[/tex]
Break the expression into groups
[tex]\left(x^2+2x\right)+\left(-3x-6\right)[/tex]
Factor out [tex]x[/tex] from [tex]x^2+2x[/tex]: [tex]x\left(x+2\right)[/tex]
Factor out -3 from [tex]-3x-6[/tex]: [tex]-3\left(x+2\right)[/tex]
Next, factor out common term [tex]x+2[/tex]
[tex]\left(x+2\right)\left(x-3\right)[/tex]
Therefore,
[tex]4x^2-4x-24= 4\left(x+2\right)\left(x-3\right)[/tex]
