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

User Saamorim
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2 Answers

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The answer is: is: " (x − 7) (x + 2) " .
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Step-by-step 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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User Eugene Dorian
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3 votes
x² - 5x - 14 = (x - 7)(x + 2)
User Matt Schlobohm
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