Which of the following is equivalent to $\cfrac{4{x^3} - 5x^2 + 2}{x-{3}}$ ?
A. $4x^2 + {7}x + {21} + \cfrac{65}{x-{3}}$
B. $4x^2 + {7}x + \cfrac{23}{x-{3}}$
C. $4x^2 - {17}x - {51} - \cfrac{155}{x-{3}}$
D. $4x^2 - {17}x - \cfrac{53}{x-{3}}$
E. $4x^2 - {17}x + {51} + \cfrac{53}{x-{3}}$
No Solution StepsA. $4x^2 + {7}x + {21} + \cfrac{65}{x-{3}}$
B. $4x^2 + {7}x + \cfrac{23}{x-{3}}$
C. $4x^2 - {17}x - {51} - \cfrac{155}{x-{3}}$
D. $4x^2 - {17}x - \cfrac{53}{x-{3}}$
E. $4x^2 - {17}x + {51} + \cfrac{53}{x-{3}}$
