Problem of the Week

Updated at Jul 10, 2023 9:46 AM

For this week we've brought you this algebra problem.

How would you find the factors of \(18{p}^{2}-36p-14\)?

Here are the steps:



\[18{p}^{2}-36p-14\]

1
Find the Greatest Common Factor (GCF).
GCF = \(2\)

2
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
\[2(\frac{18{p}^{2}}{2}+\frac{-36p}{2}-\frac{14}{2})\]

3
Simplify each term in parentheses.
\[2(9{p}^{2}-18p-7)\]

4
Split the second term in \(9{p}^{2}-18p-7\) into two terms.
\[2(9{p}^{2}+3p-21p-7)\]

5
Factor out common terms in the first two terms, then in the last two terms.
\[2(3p(3p+1)-7(3p+1))\]

6
Factor out the common term \(3p+1\).
\[2(3p+1)(3p-7)\]

Done
Cymath foriOSAndroid