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1.5 Algebraic Division

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Question 23

The internal pressure P P\,P of a experimental gas chamber is modeled by the function:

P(v)=3v3+13v2+19v+k P(v) = 3v^3 + 13v^2 + 19v + k P(v)=3v3+13v2+19v+k

where v v\,v is the relative volume and k k\,k is a constant.

Given that (3v+1)(3v + 1)(3v+1) is a factor of P(v)P(v)P(v),

a.

use the factor theorem to show that k=5k = 5k=5.

[2]
b.

Hence show that the equation P(v)=0P(v) = 0P(v)=0 has only one real root.

[4]
Markscheme

1.5 Algebraic Division Questions

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

64 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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