If the factors of a quadratic function are (x + 2) and (x − 9), what are the x-intercepts of the function?

A.
(-9,0) and (-2,0)
B.
(-2,0) and (9,0)
C.
(2,0) and (9,0)
D.
(-9,0) and (2,0)

Respuesta :

Answer:

The x-intercepts of the function are:

  • (-2,0) and (9,0)

Step-by-step explanation:

As

[tex]( x + 2 ) ( x - 9 ) = 0[/tex]

so

Either

( x + 2 ) = 0

or  

( x - 9 ) = 0

solving ( x + 2 ) = 0

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

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

[tex]x = -2[/tex]

solving ( x - 9 ) = 0

[tex]x-9=0[/tex]

[tex]x=9[/tex]

We also know that to get x-intercepts by setting y=0.

Therefore, the x-intercepts of the function are:

  • (-2,0) and (9,0)

Answer:

The correct answer is (-2,0) and (9,0)

Step-by-step explanation:

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