Write a^4 - 5a^2 + 6 as a product of two monic quadratics with integer coefficients.
let x = a2
a4 - 5a2 + 6
= x2 - 5x + 6
= (x - 6)(x + 1)
= (a2 - 6)(a2 - 1)
I think that's what the question is asking..
I think we actually need
(a^2 - 2) ( a^2 - 3)