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April 17th, 2012, 02:14 AM  #1 
Member Joined: Apr 2012 Posts: 72 Thanks: 3  Prove that there exists a quadratic polynomial R(x)
Let P(x) = ax^2 + bx + c be a quadratic polynomial with integral coeffcients (a 6 =/= 0). Prove that there exists a quadratic polynomial R(x) with integral coedfficients such that the polynomial P(R(x)) could be decomposed into a product of two quadratic polynomials with integral coeffients.

April 17th, 2012, 02:19 AM  #2 
Member Joined: Apr 2012 Posts: 72 Thanks: 3  Re: Prove that there exists a quadratic polynomial R(x)
(a 6 =/= 0). I meant a different from 0. Is there a way to edit a post I wrote? 

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