# Zeroes of cubic polynomial

• MHB
• Mathsonfire
Mathsonfire
88

## Answers and Replies

MountEvariste
You can read $\alpha + \beta + \gamma$, $\alpha\beta +\alpha \gamma + \beta \gamma$ and $\alpha \beta \gamma$ off from the polynomial.

Now what's $(\alpha+\beta)+(\alpha+\gamma)+(\beta+\gamma)$?

And what's $(\alpha+\beta)(\alpha+\gamma)(\beta+\gamma)$?

And finally $(\alpha+\beta)(\alpha+\gamma)+(\beta+\gamma)(\alpha + \beta)+(\alpha+\gamma)(\beta+\gamma)$?

Those questions all seem to be an exercise in Vietas formulas.

Last edited: