Suppose $\mathrm P(x) = ax^4 + bx^3 + cx^2 + dx + e$ satisfies \(\mathrm P(1) = 1, \mathrm P(2) =

Question

Suppose $\mathrm P(x) = ax^4 + bx^3 + cx^2 + dx + e$ satisfies $\mathrm P(1) = 1, \mathrm P(2) = 2, \mathrm P(3) = 3, \mathrm P(4) = 4$, it is also given $\mathrm P(5) = -19$. Find $\mathrm P(6)$.

Accepted Answer

$-114$.

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

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

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