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Algebraic Methods

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Question 88

g(x)=9x3−12x2−11x−2g(x) = 9x^3 - 12x^2 - 11x - 2g(x)=9x3−12x2−11x−2

Use the factor theorem to show that (x−2)(x - 2)(x−2) is a factor of g(x)g(x)g(x) and hence show that g(x)g(x)g(x) can be written in the form g(x)=(x−2)(ax+b)2g(x) = (x - 2)(ax + b)^2g(x)=(x−2)(ax+b)2, where a a\,a and b b\,b are constants to be found.

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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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