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Algebraic Methods

Algebraic Methods

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Question 25

f(x)=x3−4x2+9x−10f(x) = x^3 - 4x^2 + 9x - 10f(x)=x3−4x2+9x−10

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.

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

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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