f(x)=6x3−x2−47x+30f(x) = 6x^3 - x^2 - 47x + 30f(x)=6x3−x2−47x+30
Use the factor theorem and division to factorise f(x)f(x)f(x) completely. Hence solve f(x)=0f(x)=0f(x)=0, giving your answers in exact form.
257 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof. Each one has a worked solution and a mark scheme showing where the marks go.