f(x)=x3+2x2+px+qf(x) = x^3 + 2x^2 + px + qf(x)=x3+2x2+px+q
Given that f(1)=0f(1) = 0f(1)=0 and f(−1)=0f(-1) = 0f(−1)=0
Find the values of p p\,p and qqq
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.