Question

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)

Answer 1

None of the given options is correct.

Explanation:

Given:

`f(x)=x^2-2x-24`

To find:

the true statement

Solution:

`f(x)=x^2-2x-24`

Here,

`-2=-6+4`

`f(x)=x^2-6x+4x-24\\=x(x-6)+4(x-6)\\=(x+4)(x-6)`

To find the zeroes of
`f(x)`, put
`f(x)=(x+4)(x-6)=0`

`(x+4)(x-6)=0\\x+4=0\,,\,x-6=0\\x=-4,6`

So, zeroes are
`-4` and
`6`

None of the given options is correct.