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Algebraic Methods

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Question 4

g(x)=4x3−8x2−35x+75g(x) = 4x^3 - 8x^2 - 35x + 75g(x)=4x3−8x2−35x+75

a.

Use the factor theorem to show that (x+3)(x+3)(x+3) 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+3)(ax+b)2g(x)=(x+3)(ax+b)^2g(x)=(x+3)(ax+b)2, where a a\,a and b b\,b are constants to be found.

[4]
Markscheme

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

40 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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