CAIE P1 2015 June — Question 1 3 marks

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2015
SessionJune
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCompleting the square and sketching
TypeComplete the square
DifficultyEasy -1.2 This is a straightforward completing the square exercise requiring only factoring out the coefficient of x², completing the square, and simplifying. It's a standard textbook drill with no problem-solving element, making it easier than average but not trivial since students must handle the coefficient 2 correctly.
Spec1.02e Complete the square: quadratic polynomials and turning points

1 Express \(2 x ^ { 2 } - 12 x + 7\) in the form \(a ( x + b ) ^ { 2 } + c\), where \(a , b\) and \(c\) are constants.

Question 1:
AnswerMarks Guidance
Answer/WorkingMarks Guidance
\(2(x-3)^2 - 11\)B1B1B1 [3] For 2, \((x-3)^2\), \(-11\). Or \(a=2\), \(b=3\), \(c=11\)
## Question 1:
| Answer/Working | Marks | Guidance |
|---|---|---|
| $2(x-3)^2 - 11$ | B1B1B1 [3] | For 2, $(x-3)^2$, $-11$. Or $a=2$, $b=3$, $c=11$ |

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1 Express $2 x ^ { 2 } - 12 x + 7$ in the form $a ( x + b ) ^ { 2 } + c$, where $a , b$ and $c$ are constants.

\hfill \mbox{\textit{CAIE P1 2015 Q1 [3]}}