Problem of the Week

Updated at Jan 27, 2020 1:22 PM

How would you find the factors of \(35{q}^{2}-79q+42\)?

Below is the solution.



\[35{q}^{2}-79q+42\]

1
Split the second term in \(35{q}^{2}-79q+42\) into two terms.
\[35{q}^{2}-30q-49q+42\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[5q(7q-6)-7(7q-6)\]

3
Factor out the common term \(7q-6\).
\[(7q-6)(5q-7)\]

Done
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