The polynomial f(x)f(x)f(x) is defined by f(x)=(x−1)(2x+1)(x+5)f(x) = (x-1)(2x+1)(x+5)f(x)=(x−1)(2x+1)(x+5)
Show that f(x)=2x3+9x2−6x−5f(x) = 2x^3 + 9x^2 - 6x - 5f(x)=2x3+9x2−6x−5
Solve the equation f(x)=0f(x) = 0f(x)=0
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.