f(x)=x3+kx−16f(x) = x^3 + kx - 16f(x)=x3+kx−16
Given that (x−4)(x - 4)(x−4) is a factor of f(x)f(x)f(x) find the value of k k\,k and 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.