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Algebraic Methods

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Question 56

f(x)=x3+x2+3x−5f(x) = x^3 + x^2 + 3x - 5f(x)=x3+x2+3x−5

a.

Use the factor theorem to show that (x−1)(x - 1)(x−1) 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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