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Which of the following binomials is a factor of x^3 + 4x^2 + x -6?

 Jan 27, 2016
 #1
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Are there choices to this question? Just wanna know..

 Jan 27, 2016
 #2
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Yes sorry.

 

x-2

x+2

x-4

x+4

 Jan 27, 2016
 #3
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(x^3 + 4x^2 + x - 6) / (x - 1) = 

x^3 / x = x^2 
x^2 * (x - 1) = x^3 - x^2 
x^3 + 4x^2 - x^3 + x^2 = 5x^2 

5x^2 / x = 5x 
5x * (x - 1) = 5x^2 - 5x 
5x^2 + x - 5x^2 + 5x = 6x 

6x / x = 6 
6 * (x - 1) = 6x - 6 
6x - 6 - 6x + 6 = 0 

(x - 1) * (x^2 + 5x + 6) 

x^2 + 5x + 6 factors to (x + 3) * (x + 2) 
 

 Jan 27, 2016
 #4
avatar+8581 
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Make sense??

 Jan 27, 2016

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