# Is it a 5th degree Polynomial?

Algebra Level 4

\large \begin{align} a + 4b + 9c + 16d + 25e & = 1 \\ 4a + 9b + 16c + 25d + 36e & = 8 \\ 9a + 16b + 25c+ 36d + 49e & = 23 \end{align}

Real numbers $$a$$, $$b$$, $$c$$, $$d$$, and $$e$$ satisfy the system of equations above. Find $$a + b + c+ d + e$$.

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