Question 1122293
x+2 | 3x^5 +5x^4 -4x^3 +2x^2 +7x +3
:
multiply the divisor by 3x^4
:
3x^5 +6x^4
:
subtract from the first two terms of the dividend
:
1) -x^4 -4x^3 +2x^2 +7x +3
:
multiply the divisor by -x^3
:
-x^4 -2x^3
:
subtract from  1)
:
2) -2x^3 +2x^2 +7x +3
:
multiply the divisor by -2x^2
:
-2x^3 -4x^2
:
subtract from 2
:
3) 6x^2 +7x +3
:
multiply the divisor by 6x
:
6x^2 +12x
:
subtract from 3)
:
4) -5x +3
:
multiply the divisor by -5
:
-5x -10
:
subtract from 4)
:
13
:
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P(x) = Q(x) * D(x) + R(x)
:
(3x^5 +5x^4 +4x^3 +2x^2 +7x +3) = (3x^4 -x^3 -2x^2 +6x -5) * (x+2) +(13/(x+2)
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