SOLUTION: find the quotient and the remainder of expression (3x^3+3x-2)/(x+1) a. 3x^2+3x-4,6 b. 3x^2-2x,0 c. 3x^2+3x+4,2 d. 3x^2-3x+4,-6

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: find the quotient and the remainder of expression (3x^3+3x-2)/(x+1) a. 3x^2+3x-4,6 b. 3x^2-2x,0 c. 3x^2+3x+4,2 d. 3x^2-3x+4,-6      Log On


   

Question 362475: find the quotient and the remainder of expression
(3x^3+3x-2)/(x+1)
a. 3x^2+3x-4,6
b. 3x^2-2x,0
c. 3x^2+3x+4,2
d. 3x^2-3x+4,-6
Found 2 solutions by stanbon, Fombitz:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the quotient and the remainder of expression
(3x^3+3x-2)/(x+1)
a. 3x^2+3x-4,6
b. 3x^2-2x,0
c. 3x^2+3x+4,2
d. 3x^2-3x+4,-6
-----------------------
Using synthetic division:
-1)....3...0...3...-4
........3...-3..6...|..-10
Quotient: 3x^2-3x+6
Remainder: -10
====================
Cheers,
Stan H.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

         3x^2 - 3x + 6
        __________________________
 x + 1 | 3x^3 +  0x^2 +  3x - 2
      - (3x^2 +  3x^2)
       ---------------
                -3x^2 +  3x
             - (-3x^2 +(-3x))
                ---------------
                         6x - 2
                      -  6x + 6
                          ------
                            - 8

%283x%5E3%2B3x-2%29%2F%28x%2B1%29+=%283x%5E2-3x%2B6%29-8%2F%28x%2B1%29
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How about none of the above??
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a)%283x%5E2%2B3x-4%29%28x%2B1%29%2B6=3x%5E3%2B6x%5E2-x%2B2
b)%283x%5E2-2x%29%28x%2B1%29=3x%5E3%2Bx%5E2-2x
c)%283x%5E2%2B3x%2B4%29%28x%2B1%29%2B2=3x%5E3%2B6x%5E2%2B7x%2B6
d)%283x%5E2-3x%2B4%29%28x%2B1%29-6=3x%5E3%2Bx-2