Question

What is the complete factorization of x2 -5x-14

Answer 1

X² - 5x - 14 = (x - 7)(x + 2)

Answer 2

The answer is:  is:  " (x − 7) (x + 2) " .
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Explanation:
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Factor:  " x² − 5x − 14" . 
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What are factors of:  "-14" ; that add up to "-5" ?

-14, 1 ;  →  -14 + 1 = -13; No.

14, -1 ;  → 14 + (-1) = 14 - 1 = 13; No. 

-2, 7 ;  →  -2 + 7 = 7 + (-2) = 7 - 2 = 5 ; No. 

 2, -7 ; →  2 + (-7) = -7 + 2 = -5 .  YES! .

So, the complete "factorization" of:  

" x² − 5x − 14" ;   is:  " (x − 7) (x + 2) " .
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