# What is meant by an irreducible quadratic denominator?

##### 1 Answer

Aug 21, 2014

Irreducible simply means that it can't be factored into real factors. So, an irreducible quadratic denominator means a quadratic that is in the denominator that can't be factored.

You can easily test a quadratic to check if it is irreducible. Simply compute the discriminant

#2x^2+3x+4# is irreducible because the discriminant is#9-32=-23#

#3x^2-9x+5# is not irreducible because the discriminant is#81-60=21#