# How do you factor x^3+x^2+x+1?

##### 1 Answer
Mar 17, 2016

You can factor by grouping ${x}^{3}$and ${x}^{2}$, and then $x$ and 1.

#### Explanation:

First, factor ${x}^{3}$+${x}^{2}$, which will give you ${x}^{2}$($x$+1).
Then, combine this with the second part of the question.

${x}^{2}$($x$+1)+($x$+1)

From this, we now see that there are two ($x$+1)s. We can common factor this.

(${x}^{2}$+1)($x$+1)