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.
Practise Edexcel A Level Maths 1.5 Algebraic Division with exam-style questions for A Level Maths. 65 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.