SOLUTION: I cant figure this one out. Please help. Reduce the following expression to the lowest terms. 5w^2-25w-12 / w^2+6w+9

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I cant figure this one out. Please help. Reduce the following expression to the lowest terms. 5w^2-25w-12 / w^2+6w+9      Log On


   

Question 189873: I cant figure this one out. Please help.
Reduce the following expression to the lowest terms.
5w^2-25w-12 / w^2+6w+9
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
5w^2-25w-12 / w^2+6w+9
--------------------
The DEN is (w+3)^2
See if the NUM has that factor.

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


Since the factorization of the numerator polynomial is not obvious, use the quadratic formula.



Hence, the factors are irrational.

The denominator is a perfect square:



Hence, the numerator and denominator have no factors in common and the rational expression is therefore already reduced to lowest terms.

John