Problem 34 of 7
Factor x^2 + 8 over complex numbers.
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
write roots +/- i sqrt(c).
Hidden until you reveal it.
c must be positive.
Enter your answer
No answer yet
Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
Walkthrough shown
Full solution stays hidden until you ask for it.
1. Solve x^2+c=0 to get x=+/- i sqrt(c).
2. Use roots to write factors x-root.
3. Simplify radicals when possible.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Real linear factors for x^2+c with positive c.