SOLUTION: Find the quotient and remainder for (x^4-2x^2+3) divided by (x+1)

Question 201362: Find the quotient and remainder for (x^4-2x^2+3) divided by (x+1)
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
( x^4 -2x^2 +3) / ( x+1)
.
.,,,,,,,,,,,,,,,,,,,x^3 -x^2 -x +1 +(2)/(x+1)
,,,,,,,,,,,,______________________________
,,,,,,x+1,,!,,x^4 +0x^3 -2x^2 +0x +3
.,,,,,,,,,,,,,x^4 +x^3
,,,,,,,,,,,,,,________
,,,,,,,,,,,,,,,,,,,-x^3 -2x^2
,,,,,,,,,,,,,,,,,,,-x^3 -1x^2
,,,,,,,,,,,,,,,,,,,__________
,,,,,,,,,,,,,,,,,,,,,,,,,-x^2 +0x
,,,,,,,,,,,,,,,,,,,,,,,,,-x^2 -1x
,,,,,,,,,,,,,,,,,,,,,,,,,________
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+1x +3
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+1x +1
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,_____
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+2
.
Polynomial division is similar to regular long division,,
divide, multiply, subtract, bring down,,,,,,repeat
.
To check, multiply quotient by divisor aand add remainder
.
(x^3 -x^2 -x +1) * (x+1) = x^4 -2x^2 +1
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adding remainder(+2) = x^4 -2x^2 +3,,,,,,ok

.
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