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1.2 Algebra and Functions

1.2 Algebra and Functions

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Question 7
45%

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

1.2 Algebra and Functions Questions

  1. A Level
  2. /Maths
  3. /1.2 Algebra and Functions

302 exam-style questions on WJEC A Level Maths 1.2 Algebra and Functions, covering 1.2.1 Algebra and Functions, 1.2.2 Algebra and Functions, 1.2.3 Algebra and Functions, 1.2.4 Algebra and Functions, 1.2.5 Algebra and Functions, 1.2.6 Algebra and Functions, 1.2.7 Algebra and Functions, 1.2.8 Algebra and Functions, 1.2.9 Algebra and Functions, 1.2.10 Algebra and Functions, 1.2.11 Algebra and Functions, and 1.2.12 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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