Thread: Help with polynomial long division

Here is the problem;
(-30+6y^3-28y+y^2) divided by (2y-5)
I have listed it in decending order as follows;
6y^3+y^2 / -28-30
I get 3y^2 and then I'm stuck...
Any help or explanations would be much appreciated.
I need to do this problem using long division and then do the self check.

Originally Posted by sweetness4

(-30+6y^3-28y+y^2) divided by (2y-5)
I have listed it in decending order as follows;
6y^3+y^2 / -28-30

Your "decending order" makes no sense; should be:
6y^3 + y^2 - 28y - 30

Now you need to divide that by (2y - 5).
We can't "teach" here; go here to learn:
Polynomial Long Division

Wilmer thank you for the link, I will go look there. I did enter my decending order incorrectly (fraction bar shouldn't have been there). I've looked at about 4 sites so far and am still confused as to what to do with the y^2 when dividing. There have been a few other problems I was able to follow their steps and understand but this problem still has me confused. Thanks again for your help

Originally Posted by sweetness4

...am still confused as to what to do with the y^2 when dividing.

Not sure what you mean, like WHY the "y^2"
Here's what happens at 1st step:

Code:

         3y^2
        ------------------------
2y - 5 / 6y^3 +   y^2 - 28y - 30
         6y^3 - 15y^2
         ------------
                16y^2 - 28y

See how the y^2 is "handled"? Hope that helps.

Yes, thats what I was asking. I'm understanding now. Thanks alot it was a big help