Moderate -0.5 This is a straightforward polynomial long division question requiring systematic application of the division algorithm. While it involves a quartic divided by a quadratic (requiring multiple steps), the technique is mechanical and well-practiced at A-level, with no conceptual challenges or problem-solving insight needed beyond careful arithmetic.
1 Find the quotient and remainder when $6 x ^ { 4 } + x ^ { 3 } - x ^ { 2 } + 5 x - 6$ is divided by $2 x ^ { 2 } - x + 1$.\\
\hfill \mbox{\textit{CAIE P3 2020 Q1 [3]}}