May/June 2026 Paper 21

2026 · 7 questions · 15 parts · 50 marks

0/50 marks
0Correct0Partial0Wrong15Unattempted
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Finish set
Q1
1
–/4 mks
Q2
2(a)2(b)
–/6 mks
Q3
3(a)3(b)
–/4 mks
Q4
4(a)4(b)
–/7 mks
Q5
5(a)5(b)5(c)5(d)
–/10 mks
Q6
6(a)6(b)6(c)
–/10 mks
Q7
7
–/9 mks
Context for question 5
The polynomial is defined by
5(a)Polynomial Division Factor TheoremMedium3 marks
Find the quotient when is divided by , and show that the remainder is 21.
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5(b)Polynomial Division Factor TheoremEasy2 marks
the curve $y=\mathrm{p}(x)-21$, a $\cup$-shaped curve crossing the $x$-axis at two points labelled $\alpha$ (negative, left of the $y$-axis) and $\beta$ (positive, right of the $y$-axis), with axes labelled $x$, $y$ and origin $O$
The diagram shows the curve with equation . The curve crosses the -axis at the points and .
State the value of , and show that satisfies the equation .
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5(c)Root Finding IterationMedium2 marks
Show by calculation that the value of lies between 1.5 and 1.6.
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5(d)Root Finding IterationMedium3 marks
Use an iterative formula, based on the equation in part (b), to find the value of correct to 4 significant figures. Give the result of each iteration to 6 significant figures.
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