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Omni-MATH / Find all polynomials P in two variables with real coefficients satisfying the identity P(x,y)P(z,t)=P(xz−yt,xt+yz).

Problem

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problem

Find all polynomials PP in two variables with real coefficients satisfying the identity P(x,y)P(z,t)=P(xz−yt,xt+yz)P(x, y) P(z, t)=P(x z-y t, x t+y z).
Plain-text mathematical notation (without MathML)
Find all polynomials P in two variables with real coefficients satisfying the identity P(x,y)P(z,t)=P(xz−yt,xt+yz).
Original LaTeX notation
Find all polynomials $P$ in two variables with real coefficients satisfying the identity $P(x, y) P(z, t)=P(x z-y t, x t+y z)$.

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Source and history

task_id
99cd3a60-61dc-5ad8-9b7b-4abd32ef2ac8
task_key
test--99cd3a60-61dc-5ad8-9b7b-4abd32ef2ac8
task_revision_id
1
config / split
/ test

Official source

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