CAIE P1 2018 June — Question 1 3 marks

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2018
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 3 correctly.
Spec1.02e Complete the square: quadratic polynomials and turning points

1 Express \(3 x ^ { 2 } - 12 x + 7\) in the form \(a ( x + b ) ^ { 2 } + c\), where \(a , b\) and \(c\) are constants.

Question 1:
AnswerMarks Guidance
\([3]\left[(x-2)^2\right][-5]\)B1B1B1 OR \(a=3\), \(b=-2\), \(c=-5\). 1st mark is dependent on the form \((x+a)^2\) following 3
Total: 3 marks
**Question 1:**

$[3]\left[(x-2)^2\right][-5]$ | B1B1B1 | OR $a=3$, $b=-2$, $c=-5$. 1st mark is dependent on the form $(x+a)^2$ following 3

**Total: 3 marks**

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1 Express $3 x ^ { 2 } - 12 x + 7$ in the form $a ( x + b ) ^ { 2 } + c$, where $a , b$ and $c$ are constants.\\

\hfill \mbox{\textit{CAIE P1 2018 Q1 [3]}}