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Posted by **Danielle** on Saturday, January 12, 2008 at 8:12pm.

Divide using synthetic division: 2x3 + 2x2 + 10 divided by x + 3

PLEASE HELP!

- Algebra -
**Damon**, Saturday, January 12, 2008 at 9:13pmans.__________________

2x-1| 6x^3 +19 x^2 +x -10

ans. 3 x^2

________________________

2x-1| 6x^3 +19 x^2 +x -10

______6x^3 ______________

ans. 3 x^2

________________________

2x-1| 6x^3 +19 x^2 +x -10

______6x^3 - 3 x^2 ______________

_______0 +22 x^2 +x -10

ans. 3 x^2 +11 x

________________________

2x-1| 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

________________________

2x-1| 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 x-6

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 9:36pmI'm a little confused by this. What is the answer to #1 or is 2x^2-4x+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 9:48pmThe answer to #1 is 3x^2+11x+6 remainder -4

Here is the last line of #1

ans. 3 x^2 +11 x +6

________________________

2x-1| 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 x-6

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 9:52pmHere 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

2-6 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 10:00pm2x3 + 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.

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