A company's weekly profit PPP, in thousands of pounds, is modeled by the polynomial P(n)=5n3+kn2+8n−30P(n) = 5n^3 + kn^2 + 8n - 30P(n)=5n3+kn2+8n−30, where n n\,n is the number of units sold (in hundreds) and k k\,k is a constant. A financial analysis reveals that when P(n)P(n)P(n) is divided by (n−2)(n - 2)(n−2), the remainder is 2. Find 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.