g(x)=16x3−24x2−15x+25g(x) = 16x^3 - 24x^2 - 15x + 25g(x)=16x3−24x2−15x+25
Use the factor theorem to show that (x+1)(x + 1)(x+1) is a factor of g(x)g(x)g(x)
Hence show that g(x)g(x)g(x) can be written in the form g(x)=(x+1)(ax+b)2g(x) = (x + 1)(ax + b)^2g(x)=(x+1)(ax+b)2, where a a\,a and b b\,b are constants to be found.
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.