Answer:
Option D. is the correct option.
Step-by-step explanation:
We will factorize each polynomial given in the question.
A. [tex]g^{5}-g=g(g^{4}-1)=g(g^{2}-1)(g^{2}+1)=g(g-1)(g+1)(g^{2}+1)[/tex]
B. [tex]4g^{3}+18g^{2}+20g=2g(2g^{2}+9g+10)=2g(2g^{2}+5g+4g+10)[/tex]
[tex]=2g[g(2g+5)+2(2g+5)]=2g(2g+5)(g+2)[/tex]
C. [tex]24g^{2}-6g^{4}=6g^{2}(4-g^{2})=6g^{2}(2-g)(2+g)[/tex]
D. [tex]2g^{2}+5g+4[/tex] is factored completely.
Therefore answer is option D.
