If both (x-2) an are factors of px?...
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If both (x-2) an are factors of px? + 5x +r, prove that p=r.

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Px2+5x+r (x-2) and (x-1/2) are factor x=2, x=1/2  let f (x) =px2+5x+r f(2)=4p+10+r=0      .....1 f(1/2)=p/4+5/2+r=0 4p+10+r=9/4+5/2+r 15p4+15/2+r=r 15p4=-152p=-2 eqn 1        -8+10+r=0 r=-2 p=r 

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