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

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Answer 1 · 2016-03-17T05:21:08

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

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)

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