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+12h(s) = 2s^4 + ps^3 - 5s^2 + qs + 12h(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.
At a displacement of s=2s = 2s=2, the drone's altitude is 24 m. Show that 4p+q=04p + q = 04p+q=0.
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.
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.