MathDB

5

Part of 1963 Polish MO Finals

Problems(1)

P(x) = x^5 - 3x^4 + 6x^3 - 3x^2 + 9x - 6

Source: Polish MO Finals 1963 p5

8/30/2024
Prove that a fifth-degree polynomial P(x)=x5−3x4+6x3−3x2+9x−6 P(x) = x^5 - 3x^4 + 6x^3 - 3x^2 + 9x - 6 is not the product of two lower-degree polynomials with integer coefficients.
algebrapolynomial