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10x^3+15x^2+4x+6

Guest May 7, 2015

Best Answer 

 #1
avatar+27035 
+5

The first two terms have 5x2 in common and the last two terms have 2 in common, so:

10x3 + 15x2 + 4x + 6 → 5x2(2x + 3) + 2(2x + 3)

 

Now 2x + 3 appears twice so we can go further and write 

10x3 + 15x2 + 4x + 6 → 5x2(2x + 3) + 2(2x + 3) → (2x + 3)(5x2 + 2)

.

Alan  May 7, 2015
 #1
avatar+27035 
+5
Best Answer

The first two terms have 5x2 in common and the last two terms have 2 in common, so:

10x3 + 15x2 + 4x + 6 → 5x2(2x + 3) + 2(2x + 3)

 

Now 2x + 3 appears twice so we can go further and write 

10x3 + 15x2 + 4x + 6 → 5x2(2x + 3) + 2(2x + 3) → (2x + 3)(5x2 + 2)

.

Alan  May 7, 2015

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