It is given that f(x)=2x3+x2+kx−10f(x) = 2x^3 + x^2 + kx - 10f(x)=2x3+x2+kx−10 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 solve the equation f(x)=0f(x) = 0f(x)=0.
113 exam-style questions on AQA A Level Maths 1.5.6 Polynomials and rational expressions. Each one has a worked solution and a mark scheme showing where the marks go.