Factor x3 + 2x2 + x completely.

a. (x+1)^2

b. x(x+1)^2

c. x(x+1)^2

Option B

ANSWER:  

The factors of   is

SOLUTION:

Given, cubic expression is  

Now, we have to find the factors of above equation.

To factorize the given equation, follow the below steps:

Since x is common in every term of expression, we can take it as common

“2x” can be rewritten as “x + x”, the above equation becomes,

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))  

Hence, the second option b is correct.