[Step-by-Step] The polynomial r(t)=t^3+k t^2+m t+p - has an inflection point of (3,-24) and - a local extremum (either a maximum or a minimum) at t=8. Showing
Question: The polynomial \(r(t)=t^{3}+k t^{2}+m t+p\)
- has an inflection point of \((3,-24)\) and
- a local extremum (either a maximum or a minimum) at \(t=8\).
- Showing all steps, analytically determine the exact values of the unknown coefficients $k, m$ and \(p\)
- Enter the sum of these values below
\[k+m+p=\]
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Deliverable: Word Document 