How do you factor x3+x2+x3?

1 Answer
Nov 22, 2015

First, you know that x=1 is a root because ...

1+1+13=0

Explanation:

So, divide the function by (x1) using synthetic or long division to get ...

x2+2x+3

Now, this function has only imaginary roots, so use the quadratic formula ...

x=2±224(1)(3)2(1)=1±i2

In summary, here are the factors:

(x1)(x+1i2)(x+1+i2)

hope that helped