Problem of the Week

Updated at Feb 5, 2018 3:09 PM

To get more practice in algebra, we brought you this problem of the week:

How can we factor \(28{x}^{2}-11x+1\)?

Check out the solution below!



\[28{x}^{2}-11x+1\]

1
Split the second term in \(28{x}^{2}-11x+1\) into two terms.
\[28{x}^{2}-4x-7x+1\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[4x(7x-1)-(7x-1)\]

3
Factor out the common term \(7x-1\).
\[(7x-1)(4x-1)\]

Done