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 AS 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.