The roots of the polynomial equation is given by the values of the input
variable, x, at which it has a zero output value.
The equation that most likely represented by the graph is the option;
[tex]\underline {y = (2 \cdot x - 1)\cdot (2\cdot x - 3)\cdot (2\cdot x + 5)}[/tex]
Reasons:
From the given graph, we have;
The approximate x-intercepts are; -2.5, 0.5, 1.5
Therefore;
Given that x = -2.5 is a solution, (2·x + 5) is a factor
Given that x = 0.5 is a solution, (2·x - 1) is a factor
Given that x = 1.5 is a solution, (2·x - 3) is a factor
Therefore, the equation that most likely represents the graph is the option;
[tex]\underline {y = (2 \cdot x - 1)\cdot (2\cdot x - 3)\cdot (2\cdot x + 5)}[/tex]
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https://brainly.com/question/12475959
