Most valuable coefficient - ll
Algebra
Level
4
\[\begin{eqnarray} f(1) &=& -6 \\ f(3) &=& -36 \\ f(5) &=& -50 \\ f(7) &=& 0 \end{eqnarray} \]
\( f(x) \) is a \( 4^{\text{th}} \) degree polynomial with leading coefficient 2 satisfying the above condition.
Find the value of \( f(8) \).
Inspired by Mark Hennings.
by
Vighnesh Shenoy