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lucky1940
15.07.2020 •
Mathematics
Which polynomial is factored completely?
g^5-g
4g^3+18g^2+20g
24g^2-6g^4
2g^2+5g+4
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Ответ:
Option (4)
Step-by-step explanation:
To solve this question we will try to factor the expressions given in each option.
Option (1)
g⁵ - g = g(g⁴ - 1)
= g(g² - 1)(g² + 1)
= g(g - 1)(g + 1)(g² + 1)
Option (2)
4g³ + 18g² + 20g = 2g(2g² + 9g + 10)
= 2g[2g + 5g + 4g + 10]
= 2g[g(2g + 5) + 2(g + 5)]
= 2g(2g + 5)(g + 2)
Option (3)
24g² - 6g⁴ = 6g²(4 - g²)
= 6g²(2 - g)(2 + g)
Option (4)
2g² + 5g + 4
This expression is the in the completely factored form.
Ответ: