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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. AS Level
  2. /Maths
  3. /Algebraic Methods

40 exam-style questions on Edexcel AS 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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