MathDB

5

Part of 2008 CentroAmerican

Problems(1)

p(x) with p(1)=210

Source:

6/8/2008
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.
algebrapolynomialalgebra proposed