SOLUTION: Can someone please help me in solving this problem. Thanks. Use long division to reduce (6x^5 - 5x^4 - 6x^3 - 10x^2 + 21x - 9)/(2x - 3).

Algebra.Com
Question 16772: Can someone please help me in solving this problem.
Thanks.
Use long division to reduce (6x^5 - 5x^4 - 6x^3 - 10x^2 + 21x - 9)/(2x - 3).
Answer by xcentaur(357)   (Show Source): You can put this solution on YOUR website!
(6x^5 - 5x^4 - 6x^3 - 10x^2 + 21x - 9)/(2x - 3)
Straight out let me tell you I have never liked long division. And looking at that,I suddenly remembered why. But anyhow, heres how it goes:

2x - 3 | 6x^5 - 5x^4 - 6x^3 - 10x^2 + 21x - 9 | 3x^4 + 2x^2 - 5x + 3
       | 6x^5 - 9x^4
               -     +
        ---------------
                       4x^4 - 6x^3
                       4x^4 - 6x^3
                      -     +
                      ------------
                                    -10x^2 + 21x
                                    -10x^2 + 15x
                                    +      -
                                   ------------
                                             6x - 9
                                             6x - 9
                                            -   +
                                           ----------
                                             [remainder = 0]


As you can see,the quotient is (3x^4+2x^3-5x+3) and there is no remainder. Hope this helps.
- Prabhat

RELATED QUESTIONS

Hi, can someone please help me find all the zeros in order using synthetic division and... (answered by Edwin McCravy,richard1234)
(10x^4-6x-15+5x^3)/(2x+1) Long Division... (answered by mohammadrezai)
I need to completely factor out this problem. can anyone help me? 3x^4 + 6x^3 + 5x^3 + (answered by scott8148,MathLover1)
HELP! im not sure how to go about solving these 2 simple problems! 1) ln(5x) + ln(9) = (answered by Fombitz)
I have to solve this factoring problem : 6x^4-10x^3-6x^2 the # after the ^ is the... (answered by josgarithmetic,MathTherapy)
(2x+3)/4 + (x-5) / 3 = 3/2 I have done some of this but i have gotten stuck after this (answered by Cromlix)
Can someone help me understand how to do this problem. It's... (answered by Fombitz)
please help use synthetic division to find P(2) for... (answered by lwsshak3)
its me again please help me thank you for help Use long division to... (answered by Edwin McCravy)