Question

If n2 + 3 is one factor of the expression 3n3 + 2n2 + 9n + 6, what is the other factor?

Answer 1

The other factor is 3n+2

Explanation:

The given expression is :

`3n^(3) +2n^(2) +9n+6`

Taking common factor of both pairs :

`n^(2) (3n+2)+3(3n+2)`

3n+2 is the common term :

`(n^(2) +3)(3n+2)`

The other factor is 3n+2.