Question

Factor completely.

3x^3 + 9x^2 + x + 3

Answer 1

do you know synthetic division?

Answer 2

You do not need to use synthetic division?

Answer 3

no sir .

Answer 4

I know. :P
pull out a x+3 from the first and second grouping, grouped as such
(3x^3 + 9x^2) + ( x + 3)

Answer 5

(x+3)(3x^2+1) + (x+3)(1)
you will have to factor the first part of this grouping, but it is a much easer factor (trinomial factor) than the original equasion.

Answer 6

Now pull an (x+3) from both.
(x+3)(3x^2+1)

*answer!

Answer 7

THANK YOU ! <33333 :D