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Consider the function f(x)=x2−5x−24.

Which of the following expressions is an equivalent expression for f(x) in a form that reveals the zeros of f(x)?
(x−8)(x+3)

(x−5)(x+1)

(x−6)(x+4)

(x−3)(x−2)

Sagot :

Answer:

Answer is the first one, i know tricks boy

Step-by-step explanation:

The given function f(x) is equivalent to (x-8((x-3).

We have given function is,

[tex]f(x)=x^2-5x-24[/tex]

We have to find the equivalent expression of the f(x).

What is the ac method?

The ac Method is a method of factoring trinomial in the form

[tex]ax^{2} + bx + c=0[/tex].....(1)

The ac method of factoring is basically a method to that you can eventually factor the trinomial using grouping.  In order to split the middle term (in this case bx), we will need to find the factors that make up the product of the coefficient a and c.

Compare the the given function with equation 1 and find the value of a,b,c

[tex]f(x)=x^2-5x-24[/tex]

by given polynomial

a=1,b=-5 and C=-24

By using AC method

ac=(1)(-24)

ac=-24=-8(3)

b=-8+3=-5

[tex]=x^2-8x-3x-24\\\\=x(x-8)+3(x-8)\\\\=(x-8)(x+3)[/tex]

Therefore,

The given function f(x) is equivalent to (x-8((x-3).

To learn more about the equivalent expression visit:

https://brainly.com/question/24734894