JEE Polynomial 3

Algebra Level 5

Let \[P(x)= x^{6}-x^{5}-x^{3}-x^{2}-x\] and denote \( \alpha , \beta , \gamma , \delta \) to be the roots of the equation \[x^{4}-x^{3}-x^{2}-1=0\]

Find the value of \( P(\alpha) + P(\beta) + P(\gamma) + P( \delta) \)

×

Problem Loading...

Note Loading...

Set Loading...