SOLUTION: I didnt know what to put this under; I should use "synthetic division" to divide x^4+4x^3+6x^2+4x+1 by x+1, however, I dont understand why the answer is x^3+3x^2+3x+1/x+1, could so

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I didnt know what to put this under; I should use "synthetic division" to divide x^4+4x^3+6x^2+4x+1 by x+1, however, I dont understand why the answer is x^3+3x^2+3x+1/x+1, could so      Log On


   

Question 199198: I didnt know what to put this under; I should use "synthetic division" to divide x^4+4x^3+6x^2+4x+1 by x+1, however, I dont understand why the answer is x^3+3x^2+3x+1/x+1, could someone explain this to me?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You certainly can use synthetic division to solve this problem. Whether you use synthetic division or long division you get the same answer of: highlight%28x%5E3%2B3x%5E2%2B3x%2B1%29 with a remainder of zero. This means that the divisor x%2B1 is a factor of x%5E4%2B4x%5E3%2B6x%5E2%2B4x%2B1.
The answer is not, as you have writen, %28x%5E3%2B3x%5E2%2B3x%2B1%29%2Fhighlight_green%28%28x%2B1%29%29