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Which of the following statements Is true concerning f(x)=x^2-2x-24?
A. The zeroes of f (x) and 4 and -6 since f(x)=(x-4)(x+6)
B. The zeroes of f (x) and 4 and -6 since f(x) =(x+4)(x-6)
C.the zeroes of f (x) are -4 and 6 since f (x)=(x-4)(x+6)
D.the zeroes of f(x) are 4 and -6 since f(x)=(x+4)(x-6)

Respuesta :

Answer:

None of the given options is correct.

Step-by-step explanation:

Given:

[tex]f(x)=x^2-2x-24[/tex]

To find:

the true statement

Solution:

[tex]f(x)=x^2-2x-24[/tex]

Here,

[tex]-2=-6+4[/tex]

[tex]f(x)=x^2-6x+4x-24\\=x(x-6)+4(x-6)\\=(x+4)(x-6)[/tex]

To find the zeroes of [tex]f(x)[/tex], put [tex]f(x)=(x+4)(x-6)=0[/tex]

[tex](x+4)(x-6)=0\\x+4=0\,,\,x-6=0\\x=-4,6[/tex]

So, zeroes are [tex]-4[/tex] and [tex]6[/tex]

None of the given options is correct.

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