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Algebraic Methods

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Question 29

Jacob believes that for all positive integers n3+5n+2n^3 + 5n + 2n3+5n+2 is a multiple of 4.

Which value of n n\,n shown below is a counter example to Jacob’s belief?

n=9n=10n=11n=12 n = 9 \quad n = 10 \quad n = 11 \quad n = 12 n=9n=10n=11n=12
[1]
A

n=9n=9n=9

B

n=10n=10n=10

C

n=11n=11n=11

D

n=12n=12n=12

Markscheme

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

257 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof. Each one has a worked solution and a mark scheme showing where the marks go.

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