question_answer

If \[p(x)={{x}^{3}}-10{{x}^{2}}+31x-30\] and \[q(x)={{x}^{3}}-12{{x}^{2}}+41x-42\], then find the LCM of the polynomials p(x) and q(x).

A)  \[{{x}^{4}}-\text{ }17{{x}^{3}}+\text{ }101{{x}^{2}}-\text{ }247x\text{ }+\text{ }210\]

B) \[{{x}^{3}}-\text{ }36{{x}^{2}}+\text{ }90x\text{ }+\text{ }105\]

C) \[{{x}^{4}}+\text{ }18{{x}^{3}}-\text{ }95{{x}^{2}}+\text{ }234x\text{ }-\text{ }119\]

D) \[{{x}^{3}}-\text{ }18{{x}^{2}}+\text{ }108x\text{ }+114\]

E)  None of these