2010 A-level H2 Mathematics (9740) Paper 2 Question 1 Suggested Solutions

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

(i)
$x^2 -6x + 34 = 0$

$x = \frac{6 \pm \sqrt{36-136}}{2}$

$x = 3 \pm 5i$

(ii)
Since the coefficients are all real, another root of the equation is $-2-i$

$[x-(-2+i)][x-(-2-i)]$

$= x^2 + 4x +5$

By comparing coefficients,

$x^4 + 4x^3 + x^2 + ax + b = (x^2+4x+5)(x^2-4)$

$\therefore, a=-16, b = -20$

The other three roots are $-2 - i, 2, -2$

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KS Teng

KS has been teaching H2/H1 Mathematics and IB mathematics for almost two decades. Having taught students from all various Junior Colleges, KS adapts to students' abilities and help them better understand the topics. As someone who loves to teach mathematics and sees it as a truly useful tool in life, KS seeks to enable students to appreciate math. Therefore, his tuition mission is to motivate and cultivate students to be independent and confident thinkers.

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2010 A-level H2 Mathematics (9740) Paper 2 Question 1 Suggested Solutions

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