Additional Mathematics 4037/22 — October/November 2015

Cambridge O-Level · Calculator · worked solutions for every part, with the mark scheme

questions

marks

120

minutes

Topics Calculus · Logarithmic and exponential functions · Trigonometry · Straight-line graphs · Factors of polynomials · Series · +6 more

Q1Factors of polynomialsFree sample

It is given that $\mathrm{f}(x) = 4x^3 - 4x^2 - 15x + 18$ .

(i)

Show that $x + 2$ is a factor of $\mathrm{f}(x)$ .

(ii)

Hence factorise $\mathrm{f}(x)$ completely and solve the equation $\mathrm{f}(x) = 0$ .

The rest of this paper

9 more questions

Q2Series5M
Q3Vectors in two dimensions6M
Q4[Legacy] Matrices8M
Q5[Legacy] Indices and surds · Simultaneous equations · Logarithmic and exponential functions9M
Q6Trigonometry · Calculus · Straight-line graphs8M
Q7Circular measure · Calculus9M
Q8Straight-line graphs · Coordinate geometry of the circle10M
Q9Trigonometry12M
Q10Calculus · Logarithmic and exponential functions8M

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