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1.5 Algebraic Division

1.5 Algebraic Division

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Question 35

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

1.5 Algebraic Division Questions

  1. A Level
  2. /Maths
  3. /1.5 Algebraic Division

65 exam-style questions on Edexcel A Level Maths 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.

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