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Square root of a polyomial

  1. Sep 28, 2010 #1
    does anyone know any specific method to find the square root of a polynomial like : 4x4 + 8x3 + 8x2 + 4x+ 1 ??
    thanks in advance!
     
  2. jcsd
  3. Sep 28, 2010 #2
    You want to find a polynomial p(x) such that [p(x)]2 = q(x)?
    If this is it, it is not possible, for a general q, to find p. q must have roots with even multiplicities. This is not the case in your example. Try putting p = ax2+bx+c, square it, and equate coefficients with q. You'll find a system of equations with no solution.
     
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