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