SOLUTION: Please factor completely 4x^2+9

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please factor completely 4x^2+9      Log On


   

Question 636372: Please factor completely
4x^2+9
Found 3 solutions by jim_thompson5910, solver91311, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
This is a sum of squares, so you cannot factor 4x%5E2%2B9

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


This polynomial is prime over the real numbers. Over the complex numbers the factorization is


John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E2%2B9
2%5E2x%5E2%2B3%5E2
%282x%29%5E2%2B3%5E2.......form the difference of squares by multiplying term 3 by i%5E2
%282x%29%5E2-%283i%29%5E2
%282x+-+3i%29+%282x+%2B+3i%29 where i ≡ √(-1)