The roots of the equation $x^4-3x^3+x^2+7x-12=0$ are $\alpha$, $\beta$, $\gamma$ and \(\delt

Question

The roots of the equation $x^4-3x^3+x^2+7x-12=0$ are $\alpha$, $\beta$, $\gamma$ and $\delta$. Write down the values of $\sum\alpha$, $\sum\alpha\beta$, $\sum\alpha\beta\gamma$ and $\alpha\beta\gamma\delta$.

Accepted Answer

$3,\ 1,\ -7,\ -12$

Symmetric values from a quartic

Symmetric values from a quartic

Solution:

Solution locked