Problem of the Week

Updated at Nov 18, 2019 4:31 PM

For this week we've brought you this algebra problem.

How would you find the factors of \(30{v}^{2}+11v-28\)?

Here are the steps:



\[30{v}^{2}+11v-28\]

1
How?
Split the second term in \(30{v}^{2}+11v-28\) into two terms.
\[30{v}^{2}+35v-24v-28\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[5v(6v+7)-4(6v+7)\]

3
Factor out the common term \(6v+7\).
\[(6v+7)(5v-4)\]

Done