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.
306 exam-style questions on CCEA A Level Maths 1.1 Algebra and functions, covering 1.1.1 Algebra and functions, 1.1.2 Algebra and functions, 1.1.3 Algebra and functions, 1.1.4 Algebra and functions, 1.1.5 Algebra and functions, 1.1.6 Algebra and functions, 1.1.7 Algebra and functions, 1.1.8 Algebra and functions, 1.1.9 Algebra and functions, 1.1.10 Algebra and functions, 1.1.11 Algebra and functions, 1.1.12 Algebra and functions, 1.1.13 Algebra and functions, and 1.1.14 Algebra and functions. Each one has a worked solution and a mark scheme showing where the marks go.