Problem of the Week

Updated at Mar 5, 2018 10:33 AM

This week we have another algebra problem:

How can we factor \(35{x}^{2}+29x-28\)?

Let's start!



\[35{x}^{2}+29x-28\]

1
Split the second term in \(35{x}^{2}+29x-28\) into two terms.
\[35{x}^{2}+49x-20x-28\]

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

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

Done
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