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Better use of PolynomialReduce?

• To: mathgroup at smc.vnet.net
• Subject: [mg121058] Better use of PolynomialReduce?
• From: Irretrev Unable <irdeva_ble at yahoo.com>
• Date: Thu, 25 Aug 2011 07:06:25 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• Reply-to: Irretrev Unable <irdeva_ble at yahoo.com>

I've been using 


scPhiDecomp[expr_]:= PolynomialReduce[expr, {x^2-y^2,2 x y}, {x,y}]

which works great on

scPhiDecomp[a x^2 + 2c x y -a y^2]
>> {{a,c},0}

but doesn't do what I want on

scPhiDecomp[y (a x^2 + 2c x y -a y^2)]
>> {{0,(a x)/2+c y},-a y^3}

How do I make scPhiDecomp produce
{{a y, c y}, 0}
on the second expression?

Thanks,
Keith

• Follow-Ups:
  • Re: Better use of PolynomialReduce?
    • From: Daniel Lichtblau <danl@wolfram.com>
  • Re: Better use of PolynomialReduce?
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>