f(x)=2x3+x2−11x+kf(x) = 2x^3 + x^2 - 11x + kf(x)=2x3+x2−11x+k
Given that (x−2)(x - 2)(x−2) is a factor of f(x)f(x)f(x), find the value of kkk
Hence, or otherwise, solve the equation 2x3+x2−11x+2=02x^3 + x^2 - 11x + 2 = 02x3+x2−11x+2=0 giving your answers to 2 decimal places where appropriate
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.