Problem of the Week

Updated at Jun 29, 2026 9:00 AM

This week's problem comes from the algebra category.

How can we factor \(5{z}^{2}+z-6\)?

Let's begin!



\[5{z}^{2}+z-6\]

1
Split the second term in \(5{z}^{2}+z-6\) into two terms.
\[5{z}^{2}+6z-5z-6\]

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

3
Factor out the common term \(5z+6\).
\[(5z+6)(z-1)\]

Done
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