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Omni-MATH / Find a polynomial p(x) with real coefficients such that

Problem

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problem

Find a polynomial p(x) p\left(x\right) with real coefficients such that $ \left(x\plus{}10\right)p\left(2x\right)\equal{}\left(8x\minus{}32\right)p\left(x\plus{}6\right)$ for all real x x and $ p\left(1\right)\equal{}210$.
Plain-text mathematical notation (without MathML)
Find a polynomial p(x) with real coefficients such that

$ \left(x\plus{}10\right)p\left(2x\right)\equal{}\left(8x\minus{}32\right)p\left(x\plus{}6\right)$

for all real x and $ p\left(1\right)\equal{}210$.
Original LaTeX notation
Find a polynomial $ p\left(x\right)$ with real coefficients such that

$ \left(x\plus{}10\right)p\left(2x\right)\equal{}\left(8x\minus{}32\right)p\left(x\plus{}6\right)$

for all real $ x$ and $ p\left(1\right)\equal{}210$.

Discussion

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Source and history

task_id
dc36ad52-9fa1-505d-a88a-96b1ad194dc3
task_key
test--dc36ad52-9fa1-505d-a88a-96b1ad194dc3
task_revision_id
1
config / split
/ test

Official source

initial import