A drone's vertical displacement h(t)h(t)h(t), measured in metres, is modelled by the polynomial h(t)=2t3−kt2+5t+11h(t) = 2t^3 - kt^2 + 5t + 11h(t)=2t3−kt2+5t+11, where t≥0t \ge 0t≥0 is the time in seconds and kkk is a constant. Given that the remainder when h(t)h(t)h(t) is divided by (t−2)(t - 2)(t−2) is 171717, calculate the value of kkk.
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.