how do you get complex answers from (x^2) (x+1) ? I know the complex answers are (x- i) (x+i) (x+1) but how do you get that?

how do you get complex answers from (x^2) (x+1) ? I know the complex answers are (x- i) (x+i) (x+1) but how do you get that?

 

Your two expressions of: (x^2)(x+1) are NOT correct. They should read: (x+1)(x^2+1). If I'm right, then we have:

 

Solve for x:
(x+1) (x^2+1) = 0

 

Split into two equations:
x+1 = 0 or x^2+1 = 0

 

Subtract 1 from both sides:
x = -1 or x^2+1 = 0

 

Subtract 1 from both sides:
x = -1 or x^2 = -1

 

Take the square root of both sides:
Answer: |  x = -1     or     x = i      or     x = -i