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

1 Answer
Mar 17, 2016

Answer:

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)