contestada

What is the simplified form of the quantity 12 z-squared plus 25z plus 12 over the quantity 3 z-squared minus 2z minus 8 ?
4z plus 3 over z plus 2
4z minus 3 over z plus
4z plus 3 over z minus
4z minus 3 over z minus 2

Respuesta :

We want to simplify
(12z² + 25z + 12)/(3z² - 2z - 8)

Note that
12z² + 25z + 12 = (4z + 3)(3z + 4)
3z² - 2z - 8 = (z - 2)(3z + 4)

Therefore
[tex] \frac{12z^{2}+25z+12}{3z^{2}-2z-8} = \frac{(4z+3)(3z+4)}{(z-2)(3z+4)}= \frac{4z+3}{z-2} [/tex]

Answer:  (4z+3)(z-2)
In words:
4z plus 3 over z minus 2

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