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In this question, we have to identify the zeros of the polynomial, along with a point, and then we get that the formula for the polynomial is:
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Equation of a polynomial, according to it's zeros:
Given a polynomial f(x), this polynomial has roots such that it can be written as: , in which a is the leading coefficient.
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Identifying the zeros:
Given the graph, the zeros are the points where the graph crosses the x-axis. In this question, they are:
Thus
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Leading coefficient:
Passes through point (2,-8), that is, when , which is used to find a. So
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Considering the zeros and the leading coefficient, the formula is:
A similar problem is found at brainly.com/question/16078990