Option B
ANSWER:
The factors of [tex]$x^{3}+2 x^{2}+x$[/tex] is [tex]$x(x+1)^{2}$[/tex]
SOLUTION:
Given, cubic expression is [tex]$x^{3}+2 x^{2}+x$[/tex]
Now, we have to find the factors of above equation.
To factorize the given equation, follow the below steps:
[tex]$\mathrm{x}^{3}+2 \mathrm{x}^{2}+\mathrm{x}$[/tex]
Since x is common in every term of expression, we can take it as common
[tex]$x\left(x^{2}+2 x+1\right)$[/tex]
“2x” can be rewritten as “x + x”, the above equation becomes,
[tex]$x\left(x^{2}+x+x+1\right)$[/tex]
Taking the common terms out of bracket. we get
x(x (x + 1) + 1 (x + 1))
Taking (x + 1) as common., we get
x ((x + 1)(x + 1))
[tex]$x(x+1)^{2}$[/tex]
Hence, the second option b is correct.
