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Omni-MATH / Define the polynomials P₀,P₁,P₂⋯ by:

Problem

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problem

Define the polynomials P0,P1,P2⋯P_0, P_1, P_2 \cdots by: P0(x)=x3+213x2−67x−2000 P_0(x)=x^3+213x^2-67x-2000 Pn(x)=Pn−1(x−n),n∈N P_n(x)=P_{n-1}(x-n), n \in N Find the coefficient of xx in P21(x)P_{21}(x).
Plain-text mathematical notation (without MathML)
Define the polynomials P₀,P₁,P₂⋯ by:
P₀(x)=x³+213x²−67x−2000
P_(n)(x)=P_(n−1)(x−n),n∈N
Find the coefficient of x in P₂₁(x).
Original LaTeX notation
Define the polynomials $P_0, P_1, P_2 \cdots$ by:
\[ P_0(x)=x^3+213x^2-67x-2000 \]
\[ P_n(x)=P_{n-1}(x-n), n \in N \]
Find the coefficient of $x$ in $P_{21}(x)$.

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Source and history

task_id
7937a56c-d80a-51d2-b865-b819cc7cb191
task_key
test--7937a56c-d80a-51d2-b865-b819cc7cb191
task_revision_id
1
config / split
/ test

Official source

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