The quadratic expressions x2+px+qx^2 + px + qx2+px+q and x2+rx+sx^2 + rx + sx2+rx+s share a common factor of (x−3)(x - 3)(x−3).
Show that 3(r−p)=q−s3(r - p) = q - s3(r−p)=q−s.
Fully justify your answer.
113 exam-style questions on AQA A Level Maths 1.5.6 Polynomials and rational expressions. Each one has a worked solution and a mark scheme showing where the marks go.