May/June 2026 Paper 22

2026 · 8 questions · 12 parts · 50 marks

0/50 marks
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Finish set
Q1
1
–/4 mks
Q2
2
–/4 mks
Q3
3
–/5 mks
Q4
4
–/6 mks
Q5
5(a)5(b)
–/7 mks
Q6
6(a)6(b)6(c)
–/8 mks
Q7
7
–/7 mks
Q8
8(a)8(b)
–/9 mks
Context for question 6
Curve with equation $y=\mathrm{f}(x)$, coming down from the top left, crossing the $y$-axis below the origin, dipping to a minimum turning point below the $x$-axis to the right of the origin, then rising steeply back up through the $x$-axis at one point to the right of the origin
The diagram shows the curve with equation , where
and is a constant. It is given that is a factor of .
6(a)Polynomial Division Factor TheoremEasy2 marks
Find the value of .
6(b)Polynomial Division Factor TheoremMedium3 marks
Show that the positive root of the equation satisfies the equation .
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6(c)Root Finding IterationMedium3 marks
Use an iterative formula based on the equation to find the positive root of the equation correct to 4 significant figures. Give the result of each iteration to 6 significant figures.
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