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.
306 exam-style questions on CCEA A Level Maths 1.1 Algebra and functions, covering 1.1.1 Algebra and functions, 1.1.2 Algebra and functions, 1.1.3 Algebra and functions, 1.1.4 Algebra and functions, 1.1.5 Algebra and functions, 1.1.6 Algebra and functions, 1.1.7 Algebra and functions, 1.1.8 Algebra and functions, 1.1.9 Algebra and functions, 1.1.10 Algebra and functions, 1.1.11 Algebra and functions, 1.1.12 Algebra and functions, 1.1.13 Algebra and functions, and 1.1.14 Algebra and functions. Each one has a worked solution and a mark scheme showing where the marks go.