Problem of the Week

Updated at Dec 12, 2022 9:17 AM

How can we compute the factors of \(3{u}^{2}-5u-12\)?

Below is the solution.



\[3{u}^{2}-5u-12\]

1
Split the second term in \(3{u}^{2}-5u-12\) into two terms.
\[3{u}^{2}+4u-9u-12\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[u(3u+4)-3(3u+4)\]

3
Factor out the common term \(3u+4\).
\[(3u+4)(u-3)\]

Done
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