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Algebraic Methods

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Question 61

f(x)=4x3+12x2−36x+20f(x) = 4x^3 + 12x^2 - 36x + 20f(x)=4x3+12x2−36x+20

a.

Use the factor theorem to show that (x+5)(x + 5)(x+5) is a factor of f(x)f(x)f(x).

[2]
b.

Hence, show that f(x)f(x)f(x) can be written in the form f(x)=(x+5)(ax+b)2f(x) = (x + 5)(ax + b)^2f(x)=(x+5)(ax+b)2, where a a\,a and b b\,b are integers to be found.

[4]
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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