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Start preparation fairly early, but do only a little in one go. You’ll commit techniques to memory and automa...

Let f(x)=x^n+a_(n-1)x^(n-1)+...+a_0 with n>=2 and a_i an integer have a rational root x=p/q.

Consider q^(n-1)f(p/q).

q^(n-1)f(p/q)=p^n/q+a_(n-1)p^(n-1)+...+a_0q^(n-1)=0

==> a_(n...

Keep up to date with current affairs and read a lot of academic articles.

Silicon, as there are many covalent bonds which are strong and require a very high energy to be broken.

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