Problem of the Week

Updated at Oct 16, 2017 9:29 AM

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

How can we compute the factors of \(7{x}^{2}-44x+12\)?

Check out the solution below!



\[7{x}^{2}-44x+12\]

1
Split the second term in \(7{x}^{2}-44x+12\) into two terms.
\[7{x}^{2}-2x-42x+12\]

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

3
Factor out the common term \(7x-2\).
\[(7x-2)(x-6)\]

Done