A-LevelMathematicsAlgebra9709/33 · Oct/Nov 2025 · Q23 Marks
Find the quotient and the remainder when 3x⁴ – 2x² is divided by x + 1.
- (a)Find the quotient and the remainder when 3x⁴ – 2x² is divided by x + 1.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.
- Commence division and reach partial quotient of the form 3x³ ± 3x² or 3x⁴ - 2x² = (x + 1)(Ax³ + Bx² + Cx + D) + Ex + F, and reach A = 3 and B = ± 3
- Obtain quotient 3x³ – 3x² + x − 1 Do not ISW
- Obtain remainder of 1 Do not ISW.
- f(-1) = 3 - 2 = 1 = remainder
- Use division or inspection or compare coefficients
- Obtain quotient 3x³ – 3x² + x - 1
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →