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Algebraic Methods

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Question 21
41%

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

Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 261 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 A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 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.

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