It is given that f(x)=x3−3x2−10x+24f(x) = x^3 - 3x^2 - 10x + 24f(x)=x3−3x2−10x+24
Use the factor theorem to show that (x−2)(x - 2)(x−2) is a factor of f(x)f(x)f(x).
Factorise f(x)f(x)f(x) completely.
Hence solve the equation f(3y)=0f\left(3^y\right) = 0f(3y)=0, giving your answers to 3 significant figures where appropriate.
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.