DuhTacos
DuhTacos DuhTacos
  • 23-06-2020
  • Mathematics
contestada

What is the quotient of x^2-9x+14/x-7?

A. x+2 B. x-7 C. x-2/x-7 D. x-2

Respuesta :

altavistard
altavistard altavistard
  • 25-06-2020

Answer:

(x - 7)(x - 2)

----------------- = x - 2 for x ≠ 7    

     x - 7

Step-by-step explanation:

Please use parentheses to show clearly that you are dividing by (x - 7):

 x^2 - 9x - 14

-------------------       or    (x^2 - 9x - 14) ÷ (x - 7)

       x - 7

x^2 - 9x + 14 factors into (x - 7)(x + 2).  After rewriting x^2 - 9x + 14 in factored form, the task of division becomes simpler:

(x - 7)(x - 2)

----------------- = x - 2 for x ≠ 7    

     x - 7

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