book Maths Puzzle Numerical Ability

This is just an example from my book that I can not make sense of.
They start with: determine the polynomial p(x)=Ao+A1X+A2X^2 whose graph passes through the points (1,4),(2,0),a

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book Other Question

<1 nd <2 are vertical angles.
<1 = 4y + 14
<2= 3x + 7y
Find x and y. When I start 4y+14=3x+7y then I get x= -y + 14/3. When I substitute, I get 14 = 14 and I think this means y= factor completely. please help

49^2 - 64