Problem of the Week

Updated at Oct 5, 2020 2:25 PM

This week's problem comes from the algebra category.

How would you find the factors of \(6{q}^{2}-37q+6\)?

Let's begin!



\[6{q}^{2}-37q+6\]

1
Split the second term in \(6{q}^{2}-37q+6\) into two terms.
\[6{q}^{2}-q-36q+6\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[q(6q-1)-6(6q-1)\]

3
Factor out the common term \(6q-1\).
\[(6q-1)(q-6)\]

Done
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