Problem of the Week

Updated at Jul 1, 2024 2:09 PM

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

How can we factor \(35{m}^{2}-11m-6\)?

Check out the solution below!



\[35{m}^{2}-11m-6\]

1
Split the second term in \(35{m}^{2}-11m-6\) into two terms.
\[35{m}^{2}+10m-21m-6\]

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

3
Factor out the common term \(7m+2\).
\[(7m+2)(5m-3)\]

Done