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Algebraic Methods

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Question 8

f(x)=2x3−x2−13x+14f(x)=2x^3-x^2-13x+14f(x)=2x3−x2−13x+14

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−x2−13x+14=02x^3-x^2-13x+14=02x3−x2−13x+14=0, giving your answers to 2 decimal places where appropriate.

[5]
Markscheme

Algebraic Methods Questions

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

40 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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