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Algebraic Methods

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Question 2
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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]

Algebraic Methods Questions

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

Practise Edexcel AS Level Maths Algebraic Methods with exam-style questions for AS Level Maths. 35 questions covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank