For this case we have the following expression:
[tex]2x ^ 4 + 20x ^ 3 + 50x ^ 2[/tex]
It is observed that we can extract common factor [tex]2x ^ 2[/tex], since it is common in the three terms:
[tex]2x ^ 2 (x ^ 2 + 10x + 25) =[/tex]
If we factor the expression into parentheses, we must look for two numbers that add 10 and multiply 25. These are: 5 and 5.
Rewriting the expression we have:
[tex]2x ^ 2 ((x + 5) (x + 5))[/tex]
Thus, one of the factors of the original expression is[tex]x + 5[/tex].
Answer:
Option D
