The factors of -24 which should be used to factorize the given quadratic equation are -8 and 3.
It is required to factorize the quadratic equation [tex]x^2-5x - 24[/tex] using the factors of -24.
The required combination of factors should be -8 and 3 because,
[tex]-8+3=-5\\-8\times3=-24[/tex]
Now, factorize the quadratic equation as,
[tex]x^2-5x - 24=x^2-8x+3x-24\\=x(x-8)+3(x-8)\\=(x-8)(x+3)[/tex]
Therefore, the factors of -24 which should be used to factorize the given quadratic equation are -8 and 3.
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https://brainly.com/question/1630251
