Problem of the Week

Updated at Jul 11, 2022 2:15 PM

This week's problem comes from the algebra category.

How can we factor 4z2−8z−124{z}^{2}-8z-12?

Let's begin!



4z2−8z−124{z}^{2}-8z-12

1
Find the Greatest Common Factor (GCF).
GCF = 44

2
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
4(4z24+−8z4−124)4(\frac{4{z}^{2}}{4}+\frac{-8z}{4}-\frac{12}{4})

3
Simplify each term in parentheses.
4(z2−2z−3)4({z}^{2}-2z-3)

4
Factor z2−2z−3{z}^{2}-2z-3.
4(z−3)(z+1)4(z-3)(z+1)

Done
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