question_answer

Let \[{{R}_{1}}\] and \[{{R}_{2}}\] be the remainders when the polynomials \[f(x)=4{{x}^{3}}+3{{x}^{2}}-12ax-15\] and \[g(x)=2{{x}^{3}}+a{{x}^{2}}-6x+12\] are divided by \[(x-1)\] and \[(x-2)\] respectively. If \[3{{R}_{1}}+{{R}_{2}}+28=0\] find the value of\['a'\].

A)  \[0\]                            

B)  \[-1\]               

C)  \[1\]                

D)         \[32\]