Polynomials, Cubic Equations and Partial Fractions - Forming Polynomials from Roots and Factors

Polynomials, Cubic Equations and Partial Fractions - Forming Polynomials from Roots and Factors

TGM Original Questions

A cubic polynomial satisfies \(\mathrm P(1) = \mathrm P(2) =\mathrm P(3) = 7\). Also \( \mathrm P(0) = 1\)
Find \( \mathrm P(4)\)

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Answer:\(13\).

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