The polynomial f(x)f(x)f(x) is defined by f(x)=2x3−7x2−5x+4f(x) = 2x^3 - 7x^2 - 5x + 4f(x)=2x3−7x2−5x+4
Show that f(−1)=0f(-1) = 0f(−1)=0
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.