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Use Long Division to Divide the First Polynomial Below by the Second

Question 37

Multiple Choice

Use long division to divide the first polynomial below by the second. x5+x4+7x3+x2+6x27,x ^ { 5 } + x ^ { 4 } + 7 x ^ { 3 } + x ^ { 2 } + 6 x - 27, x2+6x ^ { 2 } + 6


A) x3+x25x+3+1x2+6x ^ { 3 } + x ^ { 2 } - 5 x + 3 + \frac { 1 } { x ^ { 2 } + 6 }
B) x3+x2+x5+3x2+6x ^ { 3 } + x ^ { 2 } + x - 5 + \frac { 3 } { x ^ { 2 } + 6 }
C) x3+x2+x+3+1x2+6x ^ { 3 } + x ^ { 2 } + x + 3 + \frac { 1 } { x ^ { 2 } + 6 }
D) x3+3x2+x+15x2+6x ^ { 3 } + 3 x ^ { 2 } + x + 1 - \frac { 5 } { x ^ { 2 } + 6 }
E) x35x2+3x+1+1x2+6x ^ { 3 } - 5 x ^ { 2 } + 3 x + 1 + \frac { 1 } { x ^ { 2 } + 6 }

Correct Answer:

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