SOLUTION: This problem stumped me last night and tried to work it out but have no clue how I arrived to what I "believe" to be the right answer. Can someone help? Simplify: (x^4 +10x^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: This problem stumped me last night and tried to work it out but have no clue how I arrived to what I "believe" to be the right answer. Can someone help? Simplify: (x^4 +10x^3      Log On


   

Question 172766: This problem stumped me last night and tried to work it out but have no clue how I arrived to what I "believe" to be the right answer. Can someone help?
Simplify:
(x^4 +10x^3 - 23x^2 - 348x - 540)/ (x + 5)
I believe the answer to be x^3 +5x^2 - 48x - 108. Is that correct, if not, please tell me what I should have done and where I went wrong? Thank you soo much!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
I presume that you used polynomial long division or synthetic division to divide %28x%5E4+%2B10x%5E3+-+23x%5E2+-+348x+-+540%29 by +%28x+%2B+5%29, which was the correct thing to do. Your quotient x%5E3+%2B5x%5E2+-+48x+-+108 with no remainder is the same quotient I got when I performed the long division operation.

Furthermore, when I turned it around and multiplied x%5E3+%2B5x%5E2+-+48x+-+108 by x%2B5 I arrived back at %28x%5E4+%2B10x%5E3+-+23x%5E2+-+348x+-+540%29. I am 100% confident that the answer we achieved is correct, and so should you be.