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 +

Algebra ->  Polynomials-and-rational-expressions -> 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 +      Log On


   

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) About Me  (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.