Problem of the Week

Updated at Jun 22, 2020 12:04 PM

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

How would you find the factors of \(12{u}^{2}-26u+4\)?

Check out the solution below!



\[12{u}^{2}-26u+4\]

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.)
\[2(\frac{12{u}^{2}}{2}+\frac{-26u}{2}+\frac{4}{2})\]

3
Simplify each term in parentheses.
\[2(6{u}^{2}-13u+2)\]

4
Split the second term in \(6{u}^{2}-13u+2\) into two terms.
\[2(6{u}^{2}-u-12u+2)\]

5
Factor out common terms in the first two terms, then in the last two terms.
\[2(u(6u-1)-2(6u-1))\]

6
Factor out the common term \(6u-1\).
\[2(6u-1)(u-2)\]

Done
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