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1.5.6 Polynomials and rational expressions

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Question 28

It is given that g(x)=9x3+12x2−11x+2g(x) = 9x^3 + 12x^2 - 11x + 2g(x)=9x3+12x2−11x+2

a.

Use the factor theorem to show that (x+2)(x + 2)(x+2) is a factor of g(x)g(x)g(x).

[2]
b.

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.

[4]
Markscheme

1.5.6 Polynomials and rational expressions Questions

  1. A Level
  2. /Maths
  3. /1.5.6 Polynomials and rational expressions

113 exam-style questions on AQA A Level Maths 1.5.6 Polynomials and rational expressions. Each one has a worked solution and a mark scheme showing where the marks go.

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