CAIE P3 2013 June — Question 1 3 marks

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2013
SessionJune
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicPolynomial Division & Manipulation
TypePolynomial Division by Linear Divisor
DifficultyEasy -1.8 This is a straightforward polynomial division requiring only one step: dividing 2x² by (x+2) to get quotient 2x-4 and remainder 8. It's a routine mechanical procedure with minimal algebraic manipulation, significantly easier than typical A-level questions which usually involve multi-step problems or application of concepts.
Spec1.02k Simplify rational expressions: factorising, cancelling, algebraic division

1 Find the quotient and remainder when \(2 x ^ { 2 }\) is divided by \(x + 2\).

Question 1:
AnswerMarks Guidance
Answer/WorkingMark Guidance
Carry out division or equivalent, at least as far as two terms of quotientM1
Obtain quotient \(2x - 4\)A1
Obtain remainder \(8\)A1 [3]
## Question 1:
| Answer/Working | Mark | Guidance |
|---|---|---|
| Carry out division or equivalent, at least as far as two terms of quotient | M1 | |
| Obtain quotient $2x - 4$ | A1 | |
| Obtain remainder $8$ | A1 | [3] |

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1 Find the quotient and remainder when $2 x ^ { 2 }$ is divided by $x + 2$.

\hfill \mbox{\textit{CAIE P3 2013 Q1 [3]}}