Problem of the Week

Updated at Dec 20, 2021 4:25 PM

This week's problem comes from the algebra category.

How would you find the factors of \(6{x}^{2}-29x-5\)?

Let's begin!



\[6{x}^{2}-29x-5\]

1
Split the second term in \(6{x}^{2}-29x-5\) into two terms.
\[6{x}^{2}+x-30x-5\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[x(6x+1)-5(6x+1)\]

3
Factor out the common term \(6x+1\).
\[(6x+1)(x-5)\]

Done