An Exponential Polynomial

Level pending

Consider a 8th degree polynomial \(g(x)\) whose coefficient of \(x^8\) is one.

The roots of \(g(x)\) can be represented as \(2^k\) for \(k\) from 0 to 7, inclusive.

Let \(m\) equal the coefficient of \(x^8\) of \(g(x)\), and let \(n\) be the constant term of \(g(x)\).

Find \( \left\{ -(\log_2 \, n^4) - (m - 4) \right\} \)


Problem Loading...

Note Loading...

Set Loading...