Problem of the Week

Updated at Apr 6, 2026 10:49 AM

To get more practice in algebra, we brought you this problem of the week:

How would you find the factors of \(15{m}^{2}+32m-7\)?

Check out the solution below!



\[15{m}^{2}+32m-7\]

1
Split the second term in \(15{m}^{2}+32m-7\) into two terms.
\[15{m}^{2}+35m-3m-7\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[5m(3m+7)-(3m+7)\]

3
Factor out the common term \(3m+7\).
\[(3m+7)(5m-1)\]

Done