g(x)=x3−2x2−5x+6g(x) = x^3 - 2x^2 - 5x + 6g(x)=x3−2x2−5x+6
Use the factor theorem to show that (x+2)(x + 2)(x+2) is a factor of g(x)g(x)g(x).
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.