Problem of the Week

Updated at Jun 21, 2021 4:30 PM

This week's problem comes from the algebra category.

How can we factor \(30{t}^{2}+17t-21\)?

Let's begin!



\[30{t}^{2}+17t-21\]

1
Split the second term in \(30{t}^{2}+17t-21\) into two terms.
\[30{t}^{2}+35t-18t-21\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[5t(6t+7)-3(6t+7)\]

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

Done