SOLUTION: Hi I am having a bit of trouble with this problem from my worksheet for pratice problems, any help would be greatly appreciated. Divide and simplify: 3x^2 +

Question 36570This question is from textbook
: Hi
I am having a bit of trouble with this problem from my worksheet for pratice problems, any help would be greatly appreciated.
Divide and simplify:

3x^2 + 13x + 4/16 � x^2

�

3x^2 � 5x � 2/3x � 12
I want to invert the divisor and multiply
so the new problem is

3x^2 + 13x + 4/16 � x^2

x(times)

3x � 12/3x^2 � 5x � 2

I cant seem to factor the 3x^2 + 13x + 4 =, is this possible, I have tried every combination of numbers but nothing is working.
I think the 3x � 12 can be factored down to 3(x � 4)
I think the 16 � x^2 should be switched to read �x^2 + 16 which can be factored down to �(x � 4)(x � 4)
I think the 3x^2 � 5x � 2 can be factored down to (3x + 1)(x � 2)

And I am stuck at this point, because I really think that the 3x^2 + 13 + 4 can be factored down to simpler terms to come up with the final answer
Please help?
Thank you very much!
This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
3x^2 + 13x + 4
=3x^2+12x+x+4
=3x(x+4)+(x+4)
=(x+4)(3x+1)
Cheers,
stan H.
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