Which of the following is equivalent to $\cfrac{4{x^3} - 5x^2 + 2}{x-{5}}$ ?
A. $4x^2 + {15}x + {75} + \cfrac{377}{x-{5}}$
B. $4x^2 + {15}x + \cfrac{77}{x-{5}}$
C. $4x^2 - {25}x - {125} - \cfrac{627}{x-{5}}$
D. $4x^2 - {25}x - \cfrac{127}{x-{5}}$
E. $4x^2 - {25}x + {125} + \cfrac{127}{x-{5}}$
No Solution StepsA. $4x^2 + {15}x + {75} + \cfrac{377}{x-{5}}$
B. $4x^2 + {15}x + \cfrac{77}{x-{5}}$
C. $4x^2 - {25}x - {125} - \cfrac{627}{x-{5}}$
D. $4x^2 - {25}x - \cfrac{127}{x-{5}}$
E. $4x^2 - {25}x + {125} + \cfrac{127}{x-{5}}$