Which of the following is equivalent to $\cfrac{4{x^3} - 2x^2 + 3}{x-{2}}$ ?
A. $4x^2 + {6}x + {12} + \cfrac{27}{x-{2}}$
B. $4x^2 + {6}x + \cfrac{15}{x-{2}}$
C. $4x^2 - {10}x - {20} - \cfrac{43}{x-{2}}$
D. $4x^2 - {10}x - \cfrac{23}{x-{2}}$
E. $4x^2 - {10}x + {20} + \cfrac{23}{x-{2}}$
No Solution StepsA. $4x^2 + {6}x + {12} + \cfrac{27}{x-{2}}$
B. $4x^2 + {6}x + \cfrac{15}{x-{2}}$
C. $4x^2 - {10}x - {20} - \cfrac{43}{x-{2}}$
D. $4x^2 - {10}x - \cfrac{23}{x-{2}}$
E. $4x^2 - {10}x + {20} + \cfrac{23}{x-{2}}$