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Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, –5). Describe the steps for writing the equation of this cubic polynomial function.

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Answer:

Use the zeroes to determine the roots. Write the polynomial as a product of the leading coefficient, a, and the factors, where each factor is x minus a root. Use the y-intercept (0, –5) to solve for the leading coefficient. Substitute the leading coefficient into the polynomial function for a and simplify.

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