SOLUTION: Hello. My question is based on common monomial factors. The directions state: "Find the greatest common factor and factor it out of the expression." The question is: 15x^5-10

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello. My question is based on common monomial factors. The directions state: "Find the greatest common factor and factor it out of the expression." The question is: 15x^5-10      Log On


   



Question 87716: Hello. My question is based on common monomial factors. The directions state: "Find the greatest common factor and factor it out of the expression."
The question is:
15x^5-10x^4+5x^2
Thanks.

Found 2 solutions by stanbon, rapaljer:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
"Find the greatest common factor and factor it out of the expression."
The question is:
15x^5-10x^4+5x^2
= 5x^2[3x^3-2x^2+1]
============
Cheers,
Stan H.

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
15x%5E5-10x%5E4%2B5x%5E2+

The greatest common factor is the largest factor that divides evenly into all three terms. In this case it would be 5x%5E2.

What is left is this:
5x%5E2%283x%5E3-2x%5E2+%2B1%29+

You should probably see my detailed explanation on my own website. Click on my tutor name "rapaljer" anywhere in algebra.com. Look for the topic called "Basic Algebra", then "Samples from Basic Algebra: One Step at a Time", go to Chapter 2, and look for "Section 2.03 Factoring the Common Factor".

R^2 Retired from SCC