Problem of the Week

Updated at Oct 18, 2021 8:24 AM

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

How can we factor \(30{m}^{2}-26m+4\)?

Check out the solution below!



\[30{m}^{2}-26m+4\]

1
Find the Greatest Common Factor (GCF).
GCF = \(2\)

2
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
\[2(\frac{30{m}^{2}}{2}+\frac{-26m}{2}+\frac{4}{2})\]

3
Simplify each term in parentheses.
\[2(15{m}^{2}-13m+2)\]

4
Split the second term in \(15{m}^{2}-13m+2\) into two terms.
\[2(15{m}^{2}-3m-10m+2)\]

5
Factor out common terms in the first two terms, then in the last two terms.
\[2(3m(5m-1)-2(5m-1))\]

6
Factor out the common term \(5m-1\).
\[2(5m-1)(3m-2)\]

Done
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