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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.