Question

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

Answer 1

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)