Problem of the Week

Updated at Aug 24, 2026 11:14 AM

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

How can we compute the factors of \(3{y}^{2}-11y-20\)?

Check out the solution below!



\[3{y}^{2}-11y-20\]

1
Split the second term in \(3{y}^{2}-11y-20\) into two terms.
\[3{y}^{2}+4y-15y-20\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[y(3y+4)-5(3y+4)\]

3
Factor out the common term \(3y+4\).
\[(3y+4)(y-5)\]

Done