g(x)=2x3−3x2−29x+60g(x) = 2x^3 - 3x^2 - 29x + 60g(x)=2x3−3x2−29x+60
Use the factor theorem to show that (x+4)(x + 4)(x+4) is a factor of g(x)g(x)g(x) and hence show that g(x)g(x)g(x) can be written as the product of three linear factors.
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.