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I dont know how to factore completely the equation below if someone could help me that will be such a great help :)

  10x3+20x2+2x+4

 Nov 8, 2018
 #1
avatar+100586 
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10x^3 + 20x^2 + 2x + 4       factor by grouping

 

10x^2 ( x + 2)  + 2 ( x + 2)

 

(x + 2) ( 10x^2 + 2)

 

(x + 2) * 2( 5x^2 + 1)

 

2 ( 5x^2 + 1) ( x + 2)

 

 

cool cool cool

 Nov 8, 2018
 #2
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Group the first two together and the second two together. For the first group, factor out 10x2 and for the second group, factor out 2. 

10x3 + 20x2 + 2x + 4

 

10x3 + 20x2           2x + 4

 

10x2 (x + 2)         2 (x + 2)

 

Now the factors in the parenthases are the same. 

 

(10x2 + 2) (x + 2)

 

2(5x2 + 1) (x + 2)

 Nov 8, 2018

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