exam Maths Puzzle Numerical Ability

x*+ax+b is a factor of the polynomial x^+qx*+rx+s.
Prove that r-b=a(q-a) and s=b(q-a).

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exam Other Question

Find an equation of a parabola satifying the given consitions.

Focus (3,2), directrix x=-4
y=2x+1
y=3x+1

What do you do in these. Do you graph or solve it? or both