find factorisation of x^2-(a+1/a)x+1

 Solution:-

Given  x^2-(a+1/a)x+1 

=x^2-ax-(1/a)x+1

=x^2-ax-(1/a)x+a/a (which is a/a=1)

=x(x-a)-1/a(x-a)

=(x-a)(x-1/a) Ans