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Algebraic Methods

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Question 129

The polynomial f(x)f(x)f(x) is defined by f(x)=2x3+(2k−1)x2−(k+1)x−kf(x)=2x^3+(2k-1)x^2-(k+1)x-kf(x)=2x3+(2k−1)x2−(k+1)x−k

a.

Show that f(1)=0f(1) = 0f(1)=0

[1]
b.

Solve the equation f(x)=0f(x) = 0f(x)=0, giving your answers in terms of kkk

[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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