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1.1 Algebra and functions

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Question 22

Given that

P(x)=64x3+96x2+44x+6 P(x) = 64x^3 + 96x^2 + 44x + 6 P(x)=64x3+96x2+44x+6
a.

Use the factor theorem to prove that (4x+1)(4x + 1)(4x+1) is a factor of P(x)P(x)P(x).

[2]
b.

Factorise P(x)P(x)P(x) completely.

[3]
c.

Hence, prove that 128n3+192n2+88n+12128n^3 + 192n^2 + 88n + 12128n3+192n2+88n+12 is a multiple of 12 when nnn is a positive whole number.

[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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