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p(x) with p(1)=210

Source:

June 8, 2008
algebrapolynomialalgebra proposed

Problem Statement

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.
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