Problem of the Week

Updated at May 6, 2024 10:11 AM

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

How can we compute the factors of \(5{u}^{2}-39u+28\)?

Here are the steps:



\[5{u}^{2}-39u+28\]

1
Split the second term in \(5{u}^{2}-39u+28\) into two terms.
\[5{u}^{2}-4u-35u+28\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[u(5u-4)-7(5u-4)\]

3
Factor out the common term \(5u-4\).
\[(5u-4)(u-7)\]

Done
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