Problem of the Week

Updated at Jan 21, 2019 3:48 PM

This week we have another algebra problem:

How can we factor \(10{x}^{2}-19x-15\)?

Let's start!



\[10{x}^{2}-19x-15\]

1
How?
Split the second term in \(10{x}^{2}-19x-15\) into two terms.
\[10{x}^{2}+6x-25x-15\]

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

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

Done