SOLUTION: Can someone explain how to use long division to solve this type of question? {{{2X^4+11X^3+19X^2+X-29=(X^2+4X+6)*(___)+(___)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone explain how to use long division to solve this type of question? {{{2X^4+11X^3+19X^2+X-29=(X^2+4X+6)*(___)+(___)}}}      Log On


   

Question 18349: Can someone explain how to use long division to solve this type of question?
2X%5E4%2B11X%5E3%2B19X%5E2%2BX-29=%28X%5E2%2B4X%2B6%29%2A%28___%29%2B%28___%29
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
X^2+4X+6 | 2X^4 + 11X^3 + 19X^2 + X - 29 | 2X^2 + 3X -5
         | 2X^4 +  8X^3 + 12X^2
         -----------------------
                   3X^3 +  7X^2 +  X  - 29
                   3X^3 + 12X^2 + 18X 
                   -----------------------
                          -5X^2 - 17X - 29
                          -5X^2 - 20X - 30
                          ----------------
                                  3X  + 1

2X^4 + 11X^3 + 19X^2 + X - 29=
(X^2+4X+6)(2X^2 + 3X -5)+(3X+1)


Hope this helps,
Prabhat