Factor 3x^2 + 13x + 4?

Explain the steps!

^ = to the power of

Since coefficient of x^2 is prime and both second and third term are positive, it must be in form (3x+_) (x+_).

There is three possibles for these blank spaces;

1,4

2,2

4,1

Because coefficient of second term is 13 = 1+12 = 1+3*4, these blank space should be 1,4

So your answer is (3x+1) (x+4)

Hope this makes sense.