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Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1) O. f(x) = (x + 5) * (x + 1) ^ 2 * (x - 1) D. f(x) = (x - 5) * (x - 1) ^ 2 * (x - 1)

Which of the following polynomial functions is graphed below OA fx x 2 2 x 3 x 1 O B fx x 2 2 x 3 x 1 O fx x 5 x 1 2 x 1 D fx x 5 x 1 2 x 1 class=

Respuesta :

MrRoyal

The function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]

From the graph, we have the following highlights

  • The graph crosses the x-axis at x = -1 and x = 3
  • The graph touches the x-axis at x = -2

The above highlights mean that:

  • The function has a multiplicity of 1 at x = -1 and x = 3
  • The function has a multiplicity of 2 at x = -2

So, the function of the polynomial is:

[tex]f(x) =a(x + 2)^2(x + 1)(x - 3)[/tex]

Assume a = 1.

So, we have:

[tex]f(x) =1(x + 2)^2(x + 1)(x - 3)[/tex]

Multiply

[tex]f(x) =(x + 2)^2(x + 1)(x - 3)[/tex]

Hence, the function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]

Read more about polynomial graphs at:

https://brainly.com/question/8878887

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