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9709/22

Mathematics 9709/22 — May/June 2019

Cambridge AS Level · Pure Mathematics 2 · worked solutions for every part, with the mark scheme

7
questions
50
marks
75
minutes

Topics Algebra · Logarithmic and Exponential Functions · Differentiation · Integration · Numerical Solution of Equations · Trigonometry

Q13MAlgebraFree sample

The polynomial p(x)p(x) is defined by

p(x)=4x3+(k+1)x2−mx+3k,p(x) = 4x^3 + (k + 1)x^2 - mx + 3k,

where kk and mm are constants. Given that (x+1)(x + 1) is a factor of p(x)p(x), express mm in terms of kk.

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6 more questions
  • Q2Algebra · Logarithmic and Exponential Functions5M
  • Q3Differentiation5M
  • Q4Integration8M
  • Q5Algebra · Integration · Logarithmic and Exponential Functions8M
  • Q6Logarithmic and Exponential Functions · Numerical Solution of Equations · Differentiation10M
  • Q7Trigonometry11M
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