Keale6xandoedne
Keale6xandoedne Keale6xandoedne
  • 25-05-2016
  • Mathematics
contestada

The model represents x2 – 9x + 14.

Which is a factor of x2 – 9x + 14?

A. x – 9
B. x – 2
C. x + 5
D. x + 7

Respuesta :

Tareki
Tareki Tareki
  • 25-05-2016
the factored form of x2 - 9x +14 
(x-2)*(x-7) 
so the answer is B.(x-2)
Answer Link
frika
frika frika
  • 23-08-2018

Factorize the quadratic trinomial [tex] x^2 - 9x + 14 [/tex] by the rule:

[tex] ax^2+bx+c=a(x-x_1)(x-x_2), \text{ where } x_1,\ x_2 \text{ are its roots. } [/tex]

1. Find the roots:

[tex] D=(-9)^2-4\cdot 14=81-56=25,\ \sqrt{D}=5,\\
\\ x_1=\dfrac{9-5}{2}=2,\ x_2=\dfrac{9+5}{2}=7. [/tex]

2. Factorize the polynomial:

[tex] x^2 - 9x + 14=(x-2)(x-7). [/tex]

3. Only factor x-2 is given in options, then the correct choice is B.

Answer Link

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