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Algebraic Methods

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Question 127

f(x)=x3+ax−2k3f(x) = x^3 + ax - 2k^3f(x)=x3+ax−2k3, where a a\,a and k k\,k are constants and k≠0k \ne 0k=0

a.

Given that (x−2k)(x - 2k)(x−2k) is a factor of f(x)f(x)f(x) find the value of a a\,a in terms of kkk

[2]
b.

Solve the equation f(x)=0f(x) = 0f(x)=0, giving your answers in terms of kkk

[4]
Markscheme

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

257 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof. Each one has a worked solution and a mark scheme showing where the marks go.

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