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Algebraic Methods

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Question 125

f(x)=2x3−x2−kx+2k−12f(x)=2x^3-x^2-kx+2k-12f(x)=2x3−x2−kx+2k−12, where k k\,k is a constant and k>20k>20k>20

a.

Use the factor theorem to show that (x−2)(x - 2)(x−2) is a factor of f(x)f(x)f(x)

[2]
b.

Hence, or otherwise, solve the equation 2x3−x2−kx+2k−12=02x^3-x^2-kx+2k-12=02x3−x2−kx+2k−12=0 giving your answers in terms of kkk

[5]
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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