1.5 Algebraic Division
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Given that

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

1.5 Algebraic Division Questions

Practise Edexcel A Level Maths 1.5 Algebraic Division with exam-style questions for A Level Maths. 65 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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1.5 Algebraic Division Questions

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