SOLUTION: Find the quotient and remainder when P(x)=x^4+x^3+2x is divided by D(x)=x+1

Question 983643: Find the quotient and remainder when P(x)=x^4+x^3+2x is divided by D(x)=x+1
Found 2 solutions by Boreal, stanbon:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
;;;;;; x^3 +2
x+1/ X^4+x^3+2x
;;;;;;; x^4+x^3 ; subtract
=========== 2x
============ 2x+2
subtract R=-2
Quotient=x^3+2
Check: (x+1)(x^3+2)=x^4+2x+x^3+2, or x^4+x^3+2x+2.
Remainder is -2 , so we get the original equation.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the quotient and remainder when P(x)=x^4+x^3+2x is divided by D(x)=x+1
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Using synthetic dividion::
-1)....1....1....2....0
.......1....0....2..|..-2

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Quotient:: x^2+2
Remainder:: -2
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Cheers,
Stan H.
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