It is given that f(x)=x3+3x2−13x−15f(x) = x^3 + 3x^2 - 13x - 15f(x)=x3+3x2−13x−15
Use the factor theorem to show that (x+5)(x + 5)(x+5) is a factor of f(x)f(x)f(x).
Hence factorise f(x)f(x)f(x) completely.
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.