It is given that f(x)=x3+kx−2f(x) = x^3 + kx - 2f(x)=x3+kx−2 where k k\,k is a constant, and that (x−2)(x - 2)(x−2) is a factor of f(x)f(x)f(x).
Find the value of kkk.
Hence factorise f(x)f(x)f(x) completely.
302 exam-style questions on WJEC A Level Maths 1.2 Algebra and Functions, covering 1.2.1 Algebra and Functions, 1.2.2 Algebra and Functions, 1.2.3 Algebra and Functions, 1.2.4 Algebra and Functions, 1.2.5 Algebra and Functions, 1.2.6 Algebra and Functions, 1.2.7 Algebra and Functions, 1.2.8 Algebra and Functions, 1.2.9 Algebra and Functions, 1.2.10 Algebra and Functions, 1.2.11 Algebra and Functions, and 1.2.12 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.