How Do You Form and Expand a Cubic Equation from Given Intersections?

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The discussion focuses on forming and expanding a cubic equation from given intersection points on a graph. Participants explore the relationship between the roots of the polynomial and the points of intersection with the x-axis, emphasizing that these roots are critical for constructing the equation. There is a back-and-forth about correctly identifying the factors of the polynomial based on the roots, with some confusion about signs and substitutions. Ultimately, the correct approach involves using the roots to express the polynomial in factored form and then expanding it, while also considering the y-intercept value provided. The final equation derived from the discussion is x^3 + 3x^2 - 18x - 40.
  • #31
Thread moved, as this is really a precalculus type question.
Also, @Physiona, please stop deleting the homework template.
 

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