Moderate -0.8 This is a straightforward polynomial long division question requiring a standard algorithmic procedure with no conceptual difficulty. The division is clean with manageable coefficients, and at 4 marks it's a routine C4 exercise testing basic algebraic manipulation rather than problem-solving or insight.
For correct leading term \(x^2\) in quotient; For evidence of division/identity process; For correct quotient; For correct remainder. The '0x' need not be written but must be clearly derived.
(Remainder) = \(0x - 3\)
Allow without working
(Quotient) = $x^2 + 2x + 2$ | B1, M1, A1, A1 4 | For correct leading term $x^2$ in quotient; For evidence of division/identity process; For correct quotient; For correct remainder. The '0x' need not be written but must be clearly derived.
(Remainder) = $0x - 3$ | | Allow without working