Problem of the Week

Updated at Jul 7, 2025 11:52 AM

How would you find the factors of \(7{z}^{2}-10z+3\)?

Below is the solution.



\[7{z}^{2}-10z+3\]

1
Split the second term in \(7{z}^{2}-10z+3\) into two terms.
\[7{z}^{2}-3z-7z+3\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[z(7z-3)-(7z-3)\]

3
Factor out the common term \(7z-3\).
\[(7z-3)(z-1)\]

Done
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