f(x)=x3+6x2+px+qf(x)=x^3+6x^2+px+qf(x)=x3+6x2+px+q
Given that f(4)=0f(4)=0f(4)=0 and f(−5)=36f(-5)=36f(−5)=36.
Find the values of p p\,p and qqq.
Factorise f(x)f(x)f(x) completely.
6 exam-style questions on Edexcel AS Level Maths 7.3 The Factor Theorem. Each one has a worked solution and a mark scheme showing where the marks go.