Problem of the Week

Updated at Jan 10, 2022 3:01 PM

For this week we've brought you this algebra problem.

How would you find the factors of \(6{m}^{2}+29m-42\)?

Here are the steps:



\[6{m}^{2}+29m-42\]

1
Split the second term in \(6{m}^{2}+29m-42\) into two terms.
\[6{m}^{2}+36m-7m-42\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[6m(m+6)-7(m+6)\]

3
Factor out the common term \(m+6\).
\[(m+6)(6m-7)\]

Done