164k views
3 votes
Factor the followimh polynomials by finding a GCF. 3.) 10m^2n + 30mn^2 + 5mn

User Eli Sadoff
by
7.5k points

1 Answer

6 votes
To factor 10m^2n + 30mn^2 + 5mn by finding the greatest common factor (GCF), we need to identify the largest factor that all three terms have in common.

First, we can factor out a common factor of 5mn from all three terms:

10m^2n + 30mn^2 + 5mn = 5mn(2m^2 + 6mn + 1)

Therefore, the GCF of 10m^2n, 30mn^2, and 5mn is 5mn, and we can write the polynomial as the product of 5mn and the expression (2m^2 + 6mn + 1).
User AndyDan
by
8.3k points

Related questions

asked Mar 25, 2023 173k views
Nihar Sarangi asked Mar 25, 2023
by Nihar Sarangi
7.8k points
2 answers
20 votes
173k views
asked Feb 21, 2018 129k views
Gkrdvl asked Feb 21, 2018
by Gkrdvl
8.9k points
1 answer
3 votes
129k views
1 answer
4 votes
11.3k views