f(x)=x3−4x2+x+6f(x) = x^3 - 4x^2 + x + 6f(x)=x3−4x2+x+6
Show that f(−1)=0f(-1)=0f(−1)=0.
Use the factor theorem and division to factorise f(x)f(x)f(x) completely.
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.