Matematické Fórum

stuart clark

For a given function $f(x)=x^3-3x^2+x+2,$ roots are shifted by $\lambda$ to eliminate $x^2$ terms and $\alpha,\beta,\gamma$ be the roots of new function, Then value of expression

$\displaystyle \frac{\alpha^3}{(\alpha-\beta)(\alpha-\gamma)(\alpha-\lambda)}+\frac{\beta^3}{(\beta-\gamma)(\beta-\alpha)(\beta-\lambda)}+\frac{\gamma^3}{(\gamma-\alpha)(\gamma-\beta)(\gamma-\lambda)}+\frac{\lambda^3}{(\lambda-\alpha)(\lambda-\beta)(\lambda-\gamma)}$ is

Matematické Fórum

#1 11. 12. 2019 10:30 — Editoval stuart clark (11. 12. 2019 10:30)

cubic polynomials

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