SOLUTION: factor the polynomial if it can't be factored it is prime 9x^4-25 please show steps and if it factorable or not

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: factor the polynomial if it can't be factored it is prime 9x^4-25 please show steps and if it factorable or not      Log On


   



Question 1049366: factor the polynomial if it can't be factored it is prime
9x^4-25
please show steps and if it factorable or not

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Difference of two squares, it is factorable.
9x%5E4-25=%283x%5E2-5%29%283x%5E2%2B5%29
Again the first factor is the difference of two squares.
9x%5E4-25=%28sqrt%283%29x-sqrt%285%29%29%28sqrt%283%29x%2Bsqrt%285%29%29%283x%5E2%2B5%29