Additional Mathematics 4037/23 — October/November 2014

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

questions

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120

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Topics Straight-line graphs · Vectors in two dimensions · Logarithmic and exponential functions · Calculus · Trigonometry · Factors of polynomials · +4 more

Q1Factors of polynomialsFree sample

The expression $\mathrm{f}(x) = 3x^3 + 8x^2 - 33x + p$ has a factor of $x - 2$ .

(i)

Show that $p = 10$ and express $\mathrm{f}(x)$ as a product of a linear factor and a quadratic factor.

(ii)

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

The rest of this paper

9 more questions

Q2Permutations and combinations7M
Q3Vectors in two dimensions · Straight-line graphs8M
Q4Logarithmic and exponential functions · Simultaneous equations7M
Q5Vectors in two dimensions6M
Q6Straight-line graphs · Logarithmic and exponential functions8M
Q7Functions · Quadratic functions10M
Q8Calculus · Trigonometry9M
Q9Calculus · Straight-line graphs12M
Q10Trigonometry7M

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