Posted by Danielle on Saturday, January 12, 2008 at 8:12pm.
Divide using long division: 6x3 + 19x2 + x – 10 divided by 2x 1
Divide using synthetic division: 2x3 + 2x2 + 10 divided by x + 3
PLEASE HELP!

Algebra  Damon, Saturday, January 12, 2008 at 9:13pm
ans.__________________
2x1 6x^3 +19 x^2 +x 10
ans. 3 x^2
________________________
2x1 6x^3 +19 x^2 +x 10
______6x^3 ______________
ans. 3 x^2
________________________
2x1 6x^3 +19 x^2 +x 10
______6x^3  3 x^2 ______________
_______0 +22 x^2 +x 10
ans. 3 x^2 +11 x
________________________
2x1 6x^3 +19 x^2 +x 10
______6x^3  3 x^2 ______________
_______ 0 +22 x^2 + x 10
___________+22 x^2 11x____
___________________12x 10
ans. 3 x^2 +11 x +6
________________________
2x1 6x^3 +19 x^2 +x 10
______6x^3  3 x^2 ______________
_______ 0 +22 x^2 + x 10
___________+22 x^2 11x____
___________________12x 10
___________________12 x6
R = 4
=============================
_______2 2 0 10
3_________________________
_______2
_______2 2 0 10
________6
3_________________________
_______2
_______2 2 0 10
________6
3_________________________
_______2 4
_______2 2 0 10
________6 12
3_________________________
_______2 4
_______2 2 0 10
________6 12
3_________________________
_______2 4 12
_______2 2 0 10
________6 12 36
3_________________________
_______2 4 12
_______2 2 0 10
________6 12 36
3_________________________
_______2 4 12 26
so
2x^2 4x +12 remainder 26 
Algebra  Danielle, Saturday, January 12, 2008 at 9:36pm
I'm a little confused by this. What is the answer to #1 or is 2x^24x+12 remainder 26 the answer? If so then how do I solve for #2? I'm sorry just some things come out funny when typed.

Algebra  Damon, Saturday, January 12, 2008 at 9:48pm
The answer to #1 is 3x^2+11x+6 remainder 4
Here is the last line of #1
ans. 3 x^2 +11 x +6
________________________
2x1 6x^3 +19 x^2 +x 10
______6x^3  3 x^2 ______________
_______ 0 +22 x^2 + x 10
___________+22 x^2 11x____
___________________12x 10
___________________12 x6
R = 4
then I put a line like this
==================================
and went on with the synthetic division.
In both cases I tried to only put one thing at a time, so copied over and over getting a little further into the problem each time
The answer to the synthetic division one is
2 x^2  4x + 12 reminder is 26 
Algebra  Damon, Saturday, January 12, 2008 at 9:52pm
Here is the final version of the synthetic division one:
_______2 2 0 10
________6 12 36
3_________________________
_______2 4 12 26
so
2x^2 4x +12 remainder 26
like bring the 2 down
3*that 2 = 6
26 goes below as 4
3*4 = +12  that goes below the 0
0+12 = 12, bring it down
3*12 = 36
add that to 10 to get remainder of 26 
Algebra  Damon, Saturday, January 12, 2008 at 10:00pm
2x3 + 2x2 + 10
By the way, important to write that as
2x^3 +2x^2 + 0x + 10
If you leave the zero coefficient terms of the polynomial out, you get messed up worse with columns and such. That is exactly why they had no coefficient of x, to make you figure that out.