which statement about g(x)=x^2-576 is true
a. the zeros, -288 and 288, can be found when 0=(x+288)(x-288.
b. the only zero,288 , can be found when 0=(x-288)^2.
c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).
d. the only zero, 24, can be found when 0=(x-24)^2

Respuesta :

Answer:

Option C.

The zeros, -24 and 24, can be found when 0= (x+24)(x-24).

Step-by-step explanation:

we have

[tex]g(x)=x^{2}-576[/tex]

we know that

To find the zeros, equate the equation to zero

[tex]x^{2}-576=0[/tex]

[tex]x^{2}=576[/tex]

square root both sides

[tex]x=(+/-)24[/tex]

therefore

[tex]0=(x+24)(x-24)[/tex]

Answer:

C. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).