SOLUTION: I just finished my math homework and I have a few that I am not sure if they are correct or not. Here are the problems, along with the answers i came up with. Please let me know if

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Question 167621This question is from textbook intermediate algebra
: I just finished my math homework and I have a few that I am not sure if they are correct or not. Here are the problems, along with the answers i came up with. Please let me know if they are correct, or if they aren't correct, what I need to be doing instead.
(from Intermediate Algebra by McKeague Ch 6, secion 2)
2.) (6x^3+12x^2-9x)/(3x)
answer: 2x^2+4x-3
6.) (6y^4-3y^3+18y^2)/(9y^2)
answer: 2y^2-y+2
14.) (x^2-x-6)/(x+2)
answer: x+3
20.) (x^3+8)/(x+2)
answer: x-2
28.) (3x^3-5x^2+2x-1)/(x-2)
answer: [x^2(3+5)+2x+1]/(x-2)
32.) (9y^3-6Y^2+8)/3Y-3)
answer: 3y^2y[(8-3y)/(3y-2)]

thanks! This question is from textbook intermediate algebra

Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
2. Correct.
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6. Incorrect. Exponents are correct, coefficients are not.

Reduce to lowest terms.
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14.) Incorrect: ,
Should be

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20.) Incorrect, your first term should be an term.
Use synthetic division.
I'll do it for this one and you can do it for the next two.
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Showing synthetic division is a little difficult.
The first part will show the factor (left hand column), then the factor times the divisor,
then the next line will show the subtraction.
Repeat.
Hopefully it makes sense.
The and term are there as placeholders.
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...........___________________
(x+2)|x^3+0x^2+0x+8
x^2:...x^3+2x^2
-----------------------------------
..................-2x^2+0x+8
-2x:..........-2x^2-4x
-----------------------------------
...............................4x+8
4:...........................4x+8
-----------------------------------
.....................................0
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28.) Incorrect, cannot be combined. Use synthetic division.
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32.) Incorrect, use synthetic division.