Question

Write f(x) = x^3 - 11x^2 + 18x +26 in the form f(x) = (x-k)q(x) + r when k = 6 + 6^1/2

Answer 1

\[f(x) = x^{3} - 11x ^{2} + 18x +26 \]
\[k = 6 +\sqrt{6}\]