Re: express a quadratic, in the form (x+a)^2 + b

*To*: mathgroup at smc.vnet.net*Subject*: [mg84371] Re: express a quadratic, in the form (x+a)^2 + b*From*: Camille JORDAN <ynceraj at gmail.com>*Date*: Thu, 20 Dec 2007 00:13:39 -0500 (EST)*References*: <fkan3b$d6k$1@smc.vnet.net>

On Dec 19, 4:08 am, "Joseph Fagan" <noemailple... at nowhere.ru> wrote: > I'm a Mathematica beginner. > I wish to express a quadratic, in the form (x+a)^2 + b > eg to express x^2 + 4x + 7 as (x+2)^2 + 3 > Is there an easy way? > Thanks > Joe Another solution for quadratic polys poly = x^2 + 4 x + 7; tempPoly = PolynomialRemainder[poly, (x + a)^2, x]; temp = Flatten[Solve[D[tempPoly, x] == 0]]; ind = PolynomialRemainder[poly, (x + a)^2, x] /. temp; (x + a)^2 + ind /. temp