taishasantiago
taishasantiago taishasantiago
  • 14-05-2020
  • Mathematics
contestada

find the zeros of...​

find the zeros of class=

Respuesta :

CHERLYNnotCHERRY
CHERLYNnotCHERRY CHERLYNnotCHERRY
  • 14-05-2020

Answer:

The answer is B.

Step-by-step explanation:

Firstly, you have to elaborate the function :

[tex]f(x) = {x}^{2} - 4x - 12[/tex]

[tex]f(x) = {x}^{2} + 2x - 6x - 12[/tex]

Next you have to factorize by collecting like-terms :

[tex]f(x) = x(x + 2) - 6(x + 2)[/tex]

[tex]f(x) = (x - 6)(x + 2)[/tex]

Lastly, you can solve it by letting f(x) equals to zero :

[tex](x - 6)(x + 2) = 0[/tex]

[tex]x - 6 = 0[/tex]

[tex]x = 6[/tex]

[tex]x + 2 = 0[/tex]

[tex]x = - 2[/tex]

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