Which is the inequality in factored form that represents the region greater than or equal to the quadratic function with zeros –3.

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1. The inequality is represented by the polynomial y ≥ 3.6 · (x – 11.5) · (x + 3.5).

   What is the expression of the quadratic inequality?

   Herein we must derive the quadratic expression within an inequality of the y ≥ f(x) based on its two roots and a known point on the curve. We can find the coefficients of the quadratic equation by solving this system of linear equations:

   (x₁, y₁) = (- 3.5, 0)

   12.25 · a – 3.5 · b + c = 0       (1)

   (x₂, y₂) = (11.5, 0)

   132.25 · a + 11.5 · b + c = 0       (2)

   (x₃, y₃) = (8.5, – 54)

   72.25 · a + 8.5 · b + c = – 54     (3)

   The solution of the system is a = 3.6, b = – 54, c = 144.9. Thus, the inequality is represented by the polynomial y ≥ 3.6 · x² – 54 · x + 144.9, whose factored form is determined by the quadratic formula:

   y ≥ 3.6 · (x² – 15 · x + 40.25)

   y ≥ 3.6 · (x – 11.5) · (x + 3.5)

   To learn more on inequalities: https://brainly.com/question/20383699

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