ANSWER
[tex]4{x}^{2} ( 5{x}^{2} + 2x + 10)[/tex]
EXPLANATION
We want to factorize completely,
[tex]20 {x}^{4} + 8 {x}^{3} + 40 {x}^{2} [/tex]
We take the highest common factor to obtain,
[tex]4{x}^{2} ( 5{x}^{2} + 2x + 10)[/tex]
Now we need to factorize the quadratic trinomial in the parenthesis.
But there are no two factors of
[tex]50[/tex]
that will add up to
[tex]2[/tex]
Hence the completely factored form of given polynomial is
[tex]4{x}^{2} ( 5{x}^{2} + 2x + 10)[/tex]
