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Question Number 31423 by mondodotto@gmail.com last updated on 08/Mar/18

Commented by mondodotto@gmail.com last updated on 08/Mar/18

please help me!

pleasehelpme!

Answered by MJS last updated on 08/Mar/18

x^4 +6x^3 +13x^2 +px+q  (x^2 +mx+n)^2 =  =x^4 +2mx^3 +(m^2 +2n)x^2 +2mnx+n^2   2m=6 ⇒ m=3  m^2 +2n=13 ⇒ n=2  2mn=p ⇒ p=12  n^2 =q ⇒ q=4  ⇒ p−2q=4  x^4 +6x^3 +13x^2 +12x+4=  =(x^2 +3x+2)^2

x4+6x3+13x2+px+q(x2+mx+n)2==x4+2mx3+(m2+2n)x2+2mnx+n22m=6m=3m2+2n=13n=22mn=pp=12n2=qq=4p2q=4x4+6x3+13x2+12x+4==(x2+3x+2)2

Commented by mondodotto@gmail.com last updated on 08/Mar/18

what do m and n means?

whatdomandnmeans?

Commented by rahul 19 last updated on 08/Mar/18

for the sake of solving they are just  taken as the integral coefficients .

forthesakeofsolvingtheyarejusttakenastheintegralcoefficients.

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