Problem of the Week

Updated at Jul 22, 2019 8:12 AM

How can we factor \(8{w}^{2}-18w+7\)?

Below is the solution.



\[8{w}^{2}-18w+7\]

1
Split the second term in \(8{w}^{2}-18w+7\) into two terms.
\[8{w}^{2}-4w-14w+7\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[4w(2w-1)-7(2w-1)\]

3
Factor out the common term \(2w-1\).
\[(2w-1)(4w-7)\]

Done
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