Problem of the Week

Updated at Oct 1, 2018 9:52 AM

How would you find the factors of \(15{p}^{2}-45p+30\)?

Below is the solution.



\[15{p}^{2}-45p+30\]

1
Find the Greatest Common Factor (GCF).
GCF = \(15\)

2
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
\[15(\frac{15{p}^{2}}{15}+\frac{-45p}{15}+\frac{30}{15})\]

3
Simplify each term in parentheses.
\[15({p}^{2}-3p+2)\]

4
Factor \({p}^{2}-3p+2\).
\[15(p-2)(p-1)\]

Done
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