It is given that f(x)=2x3−x2−13x+14f(x) = 2x^3 - x^2 - 13x + 14f(x)=2x3−x2−13x+14
Verify that x=2x=2x=2 is a root of f(x)=0f(x)=0f(x)=0 and name the corresponding linear factor.
Hence, or otherwise, solve the equation 2x3−x2−13x+14=02x^3 - x^2 - 13x + 14 = 02x3−x2−13x+14=0, giving your answers to 2 decimal places where appropriate.
72 exam-style questions on OCR A Level Maths 1.2.10 Manipulating polynomials. Each one has a worked solution and a mark scheme showing where the marks go.