6x ^ 3 + 8x ^ 2 + 2x
The first thing you should do in this case is to take out the common factor of all the terms of the expression.
We have then:
Step 1:
2 * (3x ^ 3 + 4x ^ 2 + x)
Step 2:
2x * (3x ^ 2 + 4x + 1)
Step 3:
2x * 3((x + 1) * (x + 1/3))
2 x * ( x + 1 ) ( 3x + 1 )
Answer:
The factored expression is:
2 x * ( x + 1 ) ( 3x + 1 )