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Algebraic Methods

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Question 113

g(x)=2x3+(2k−9)x2+(7−9k)x+7kg(x)=2x^3+(2k-9)x^2+(7-9k)x+7kg(x)=2x3+(2k−9)x2+(7−9k)x+7k, where k k\,k is a constant.

a.

Use the factor theorem to show that (x+k)(x + k)(x+k) is a factor of g(x)g(x)g(x).

[2]
b.

Hence, show that g(x)g(x)g(x) can be written as the product of three linear factors, 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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