Exercise 1.

In ${\mbox{${\mathbb{Q}}$}}[x]$ we consider the polynomial $b = x^4 + 6x^3 + 11x^2 + 6x + 1$ . We assume that $b$ is the square of a polynomial $a$ in ${\mbox{${\mathbb{Q}}$}}[x]$ . Using symbolic Newton Iteration, compute such a polynomial $a$ .

Answer 1  

Answer 2