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.
368 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.