Polynomials are Awesome
Algebra
Level
5
\(\large{p(x)}\) is a monic polynomial of degree 4, such that
\[\begin{align} p(2)&=-55\\ p(3)&=-181\\ p(4)&=-377\\ p(5)&=-619. \end{align}\]
Then what is the value of \(p(\omega)?\)
Details and Assumptions
- \(\omega\) represents cube root of unity.
by
Shubhendra Singh