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3 years ago

7

Factor the trinomial completely. x^2-5x-24

1 answer:

Vikki [24]3 years ago

4 0

The answer is: " (x − 8) (x + 3) " .
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" (x − 8) (x + 3) " are the factors of: " x² − 5x − 24 " .
_________________________________________________________
Explanation:
__________________________________________________________

Given: "x² − 5x − 24 " ; Factor this "trinomial" expression completely.

We notice the "-5x" and the "-24 .

What factors of "-24" add up to "-5" ?

-1 + 24 ? No.

-24 + 1 ? no.

-12 + 2 = -10? No.

12 + (-2) = 12 - 2 = 10 ? No.

-3 + 8 = 5 ? No.

-8 + 3 = -5 ? Yes!

So: " (x − 8) (x + 3) " are the factors of: " x² − 5x <span>− 24 " .
______________________________________________________ </span>

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