vortexdevity
vortexdevity vortexdevity
  • 22-01-2022
  • Mathematics
contestada

How can I factor this equation?
[tex]9x^5 + 18x^4 - 82 {x}^{3} - 120 {x}^{2} + 185x + 150[/tex]
​

Respuesta :

fieryanswererft
fieryanswererft fieryanswererft
  • 22-01-2022

Answer:

factors are : (3x+2)(3x-5)(x²-5)(x+3)

Step-by-step explanation:

given : [tex]9x^{5} +18x^{4} -82x^{3} -120x^{2}+185x+150 [/tex]

( x + 3 ) is a factor of the following, can be found if " -3 " is replaced with x and put into equation and output is 0.

[tex]9(-3)^{5} +18(-3)^{4} -82(-3)^{3} -120(-3)^{2}+185(-3)+150 [/tex] = 0

as a result proved, ( x + 3 ) is a factor.

then divide, the following using ( x + 3 )

the answer should come = (3x+2)(3x-5)(x²-5)

so the factors are : (3x+2)(3x-5)(x²-5)(x+3)

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