It is given that f(x)=3x3−5x2−7x+10f(x) = 3x^3 - 5x^2 - 7x + 10f(x)=3x3−5x2−7x+10
Use the factor theorem to show that (x−2)(x - 2)(x−2) is a factor of f(x)f(x)f(x).
Hence, or otherwise, solve the equation 3x3−5x2−7x+10=03x^3 - 5x^2 - 7x + 10 = 03x3−5x2−7x+10=0, giving your answers to 2 decimal places 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.