The given expression is [tex] 36x^4+18x^3+40x^2 [/tex]
And we have to write it in the factored form .
First we have to find the GCF, and the GCF is[tex] 2x^2 [/tex] .
Now we take out the GCF from each term, that is
[tex] 2x^2 (18x^2 +9x+20) [/tex]
And that's the required factored form .