Drako216 Drako216
  • 11-01-2017
  • Mathematics
contestada

One of the factors of the polynomial x3 + 5x2 + 6x is (x2 + 3x). What is the other factor?

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adriemail4
adriemail4 adriemail4
  • 11-01-2017
The answer is 

x (x² + 5x + 6) 

-------------------- 
x ( x + 3) 

( x + 3 ) (x + 2) 
--------------------- 
x + 3 

x + 2
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chisnau chisnau
  • 08-04-2019

The given polynomial is :

[tex]x^{3}+5x^{2}+6x[/tex]

One factor is given as : [tex]x^{2} +3x[/tex] or [tex]x(x+3)[/tex]

So, now solving this for 2nd factor, we get,            

[tex]x(x^{2}+5x+6 )[/tex]          

[tex]x[(x^{2}+3x+2x+6)][/tex]          

[tex]x(x+3)(x+2)[/tex]              

Hence, the second factor is (x+2)

Answer Link

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