Problem of the Week

Updated at Jun 17, 2019 9:47 AM

How can we compute the factors of 2m2−8m−242{m}^{2}-8m-24?

Below is the solution.



2m2−8m−242{m}^{2}-8m-24

1
Find the Greatest Common Factor (GCF).
GCF = 22

2
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2(2m22+−8m2−242)2(\frac{2{m}^{2}}{2}+\frac{-8m}{2}-\frac{24}{2})

3
Simplify each term in parentheses.
2(m2−4m−12)2({m}^{2}-4m-12)

4
Factor m2−4m−12{m}^{2}-4m-12.
2(m−6)(m+2)2(m-6)(m+2)

Done
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