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Write the equation of the graph shown below in factored form.

1. f(x) = (x − 3)(x + 1)(x + 4)
2. f(x) = (x + 3)(x − 1)(x − 4)
3. f(x) = (x + 3)(x + 1)(x + 4)
4. f(x) = (x − 3)(x − 1)(x − 4)

Write the equation of the graph shown below in factored form 1 fx x 3x 1x 4 2 fx x 3x 1x 4 3 fx x 3x 1x 4 4 fx x 3x 1x 4 class=

Respuesta :

kudzordzifrancis

Answer:

2. f(x) = (x + 3)(x − 1)(x − 4)

Step-by-step explanation:

The roots of this polynomial graph are the x-intercepts.

These are x=-3, x=1, x=4

These implies that the factors of the function are:

(x+3), (x-1), and (x-4)

The factored form is given as:

[tex]f(x) = (x + 3)(x - 1)(x - 4)[/tex]

Therefore the second option is correct.

thaovtp1407

Answer:

2. f(x) = (x + 3)(x − 1)(x − 4)

Step-by-step explanation:

As we know that, the standard factored form of an cubic polynomial is:

f(x)= a(x -[tex]r_{1}[/tex])(x -[tex]r_{2}[/tex])(x -[tex]r_{3}[/tex]) where: [tex]r_{1}[/tex] , [tex]r_{2}[/tex], [tex]r_{3}[/tex] are the roots or x-intercept of the function when it is equal to 0.

In this situation, we can see that:

  • [tex]r_{1}[/tex] = 4
  • [tex]r_{2}[/tex] = 1
  • [tex]r_{3}[/tex] = -3
  • a = 1

So the  the equation of the graph shown is:

f(x) = a(x -[tex]4[/tex])(x -1)(x +3)

We choose 2, hope it will find you well.

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