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Use Long Division to Divide (x4x25)÷(x2+4x1)\left( x ^ { 4 } - x ^ { 2 } - 5 \right) \div \left( x ^ { 2 } + 4 x - 1 \right)

Question 67

Multiple Choice

Use long division to divide.
(x4x25) ÷(x2+4x1) \left( x ^ { 4 } - x ^ { 2 } - 5 \right) \div \left( x ^ { 2 } + 4 x - 1 \right)


A) x24x+4x ^ { 2 } - 4 x + 4
B) x2+4x4x ^ { 2 } + 4 x - 4
C) x24x+16+68x+11x2+4x1x ^ { 2 } - 4 x + 16 + \frac { - 68 x + 11 } { x ^ { 2 } + 4 x - 1 }
D) x2+4x4+5x1x2+4x1x ^ { 2 } + 4 x - 4 + \frac { - 5 x - 1 } { x ^ { 2 } + 4 x - 1 }
E) x24x+44x24x+4x ^ { 2 } - 4 x + 4 - \frac { 4 } { x ^ { 2 } - 4 x + 4 }

Correct Answer:

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