g(x)=2x3+x2−38x+35g(x) = 2x^3 + x^2 - 38x + 35g(x)=2x3+x2−38x+35
Use the factor theorem to show that (x+5)(x + 5)(x+5) 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.
40 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.