f(x)=3x3−7x+kf(x) = 3x^3 - 7x + kf(x)=3x3−7x+k
Use the factor theorem to find the value of kkk, given that (x+2)(x + 2)(x+2) is a factor of f(x)f(x)f(x).
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.