188k views
4 votes
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!

Factor x^2 + 25 in the complex numbers.

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!! Factor x^2 + 25 in the complex numbers-example-1
User EPQRS
by
5.9k points

2 Answers

6 votes
The answer you are looking for is B.
User Xcesco
by
5.7k points
4 votes

Answer: C

Explanation:

x² + 25

= x² - (-25)

This can now be factored using the sum & difference formula:

  • a² - b² = (a - b)(a + b)

√x² = x

√-25 = 5i

So, x² - (-25) = (x - 5i)(x + 5i)

User Arvind Sridharan
by
5.4k points