SOLUTION: 2X^4+11X^3+19X^2+X-29=(X^2+4X+6)*(_____)+(_____)

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Question 17888: 2X^4+11X^3+19X^2+X-29=(X^2+4X+6)*(_____)+(_____)
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
2X^4+11X^3+19X^2+X-29=(X^2+4X+6)*(_____)+(_____)
Using standard long division,
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)


+%28X%5E2%2B4X%2B6%29%2A%282x%5E2%2B3x-5%29%2B%283x%2B1%29+


Hope this helps,
Prabhat