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A-LevelMathematicsAlgebra9709/22 · Oct/Nov 2019 · Q13 Marks

The polynomial f(x) is defined by f(x) = x⁴ - 3x³ + 5x² – 6x + 11. Find the quotient and remainder when f(x) is divided by (x² + 2).

  1. Find the quotient and remainder when f(x) is divided by (x² + 2).[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.

  1. [M1] Divide at least as far as the x term in the quotient (Allow use of (x²+2)(x² + ax+b)+cx + d)
  2. [A1] Obtain at least x² - 3x
  3. [A1] Obtain x²-3x + 3 and remainder 5

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About this question

Topic
Algebra, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, Oct/Nov 2019 Paper 2 Variant 2, question 1.

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