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2x^5-9x^4+12x^2+10x-3

im stuck with second root, ik that first one is x-1, but lost how to continue :2x^4-7x^3+5x^2-7x+3

 Jan 9, 2017
 #1
avatar+14985 
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2x^5-9x^4+12x^2+10x-3

 

\(f(x)=2x^5-9x^4+12x^2-3\)

 

 

 

 

{nl} im stuck with second root, ik that first one is x-1, but lost how to continue : \(\Large ?\)

 

2x^4-7x^3+5x^2-7x+3

 

\(f(x)=2x^4-7x^3+5x^2-7x+3\)

 

 

 

\(x_1=\frac{1}{2}\)                         \( x_2=3\)   laugh   !

 Jan 9, 2017
edited by asinus  Jan 9, 2017
 #2
avatar+33653 
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I suspect your first expression should be:  2x^5-9x^4+12x^3-12x^2+10x-3  as x-1 is a factor of this, but isn't a factor of 2x^5-9x^4+12x^2+10x-3.

 Jan 9, 2017
 #3
avatar+33653 
0

asinus's graphical roots suggest that (2x-1) and (x-3) are also factors, so you could try expanding

 

(2x-1)(x-3)(x-a)(x-b) and comparing the resulting coefficients with  2x^4-7x^3+5x^2-7x+3 to find a and b.

Alan  Jan 9, 2017

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