Problem of the Week

Updated at Aug 19, 2024 4:29 PM

To get more practice in algebra, we brought you this problem of the week:

How can we compute the factors of \(6{y}^{2}-y-15\)?

Check out the solution below!



\[6{y}^{2}-y-15\]

1
Split the second term in \(6{y}^{2}-y-15\) into two terms.
\[6{y}^{2}+9y-10y-15\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[3y(2y+3)-5(2y+3)\]

3
Factor out the common term \(2y+3\).
\[(2y+3)(3y-5)\]

Done