f(x)=2x3−(2k+11)x2+(11k+5)x−5kf(x) = 2x^3 - (2k+11)x^2 + (11k+5)x - 5kf(x)=2x3−(2k+11)x2+(11k+5)x−5k, where k k\,k is a constant.
Use the factor theorem and division to factorise f(x)f(x)f(x) completely in terms of kkk.
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.