Problem of the Week

Updated at Aug 26, 2024 2:47 PM

How can we compute the factors of \(2{m}^{2}-4m-30\)?

Below is the solution.



\[2{m}^{2}-4m-30\]

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.)
\[2(\frac{2{m}^{2}}{2}+\frac{-4m}{2}-\frac{30}{2})\]

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

4
Factor \({m}^{2}-2m-15\).
\[2(m-5)(m+3)\]

Done
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