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1.1 Algebra and functions

1.1 Algebra and functions

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Question 78

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

a.

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

[4]
Markscheme

1.1 Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.1 Algebra and functions

306 exam-style questions on CCEA A Level Maths 1.1 Algebra and functions, covering 1.1.1 Algebra and functions, 1.1.2 Algebra and functions, 1.1.3 Algebra and functions, 1.1.4 Algebra and functions, 1.1.5 Algebra and functions, 1.1.6 Algebra and functions, 1.1.7 Algebra and functions, 1.1.8 Algebra and functions, 1.1.9 Algebra and functions, 1.1.10 Algebra and functions, 1.1.11 Algebra and functions, 1.1.12 Algebra and functions, 1.1.13 Algebra and functions, and 1.1.14 Algebra and functions. Each one has a worked solution and a mark scheme showing where the marks go.

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