Question

How do you divide `(10x ^ { 3} + 12x ^ { 2} + 2x ) \div 2x`?

Answer 1

`(10x^3+12x^2+2x)/(2x)`

Factor `2x` from the numerator:

`=(2x(5x^2+6x+1))/(2x)`

`=5x^2+6x+1`

Which can be factored, if you wish, as

`=(5x+1)(x+1)`