The polynomial f(x)f(x)f(x) is defined by f(x)=2x3+3x2−11x−6f(x) = 2x^3 + 3x^2 - 11x - 6f(x)=2x3+3x2−11x−6
Show that f(2)=0f(2) = 0f(2)=0
Solve the equation f(x)=0f(x) = 0f(x)=0
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.