The answer is: is: " (x − 7) (x + 2) " .
____________________________________
Explanation:
____________________________________
Factor: " x² − 5x − 14" .
____________________________________
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) " .
_____________________________________________
