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Algebraic Methods

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Question 40

f(x)=x3−6x2+11x−12f(x) = x^3 - 6x^2 + 11x - 12f(x)=x3−6x2+11x−12

a.

Use the factor theorem to show that (x−4)(x - 4)(x−4) is a factor of f(x)f(x)f(x).

[2]
b.

Show that f(x)=0f(x) = 0f(x)=0 only has one real root.

[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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