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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