Factor the polynomial x4+8x2+12\displaystyle {x}^{{4}}+{8}{x}^{{2}}+{12}. Your answer can be written as (x2+A)(x2+B)\displaystyle {\left({x}^{{2}}+{A}\right)}{\left({x}^{{2}}+{B}\right)} where A<B\displaystyle {A}\lt{B}
and A\displaystyle {A} equals:  


and B\displaystyle {B} equals: