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Algebraic Methods

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Question 185

The altitude of a research drone, h(s)h(s)h(s) in metres, relative to a fixed marker is modelled by the polynomial function

h(s)=2s4+ps3−5s2+qs+12 h(s) = 2s^4 + ps^3 - 5s^2 + qs + 12 h(s)=2s4+ps3−5s2+qs+12

where s s\,s is the horizontal displacement in decametres from the marker and p p\,p and q q\,q are constants.

a.

At a displacement of s=2s = 2s=2, the drone's altitude is 24 m. Show that 4p+q=04p + q = 04p+q=0.

[3]
b.

At a displacement of s=−1s = -1s=−1, the drone's altitude is 15 m. Determine the value of p p\,p and the value of qqq.

[4]

Algebraic Methods Questions

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

Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 226 questions covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division, 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.

Question bank