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\['a'\].

Let \[{{R}_{1}}\] and \[{{R}_{2}}\] be the remainders when the polynom

1.	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.	\[32\]
Answer» D. \[32\]

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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\['a'\].

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