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.
532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.