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Express x^2+3x+2 in the form (x+p)^2+q, where p and q are rational numbers.

 x2+3x+2 = (x+p)2+q (x+3/2)2 = x2+3x+9/4 x2+3x+2 = (x+3/2)2-9/4+2 x2+3x+2 = (x+3/2)2-1/4

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