question_answer

The LCM & HCF of the polynomials \[p\,(x)=51{{x}^{2}}\,{{(x+3)}^{3}}\,{{(x-2)}^{2}}\]and \[q\,(x)=34x\,{{(x-1)}^{5}}\,{{(x-2)}^{3}}\] are respectively.

A)  \[102{{x}^{2}}{{(x-1)}^{5}}{{(x-2)}^{3}}{{(x+3)}^{3}}\,and\,17{{x}^{2}}{{(x-2)}^{2}}\]

B)  \[204{{x}^{2}}{{(x-1)}^{5}}{{(x-2)}^{3}}{{(x+3)}^{3}}\,and\,17x(x-2)\]

C)  \[102{{x}^{2}}{{(x-1)}^{5}}{{(x-2)}^{3}}{{(x+3)}^{3}}\,and\,17x{{(x-2)}^{2}}\]

D)  \[102{{x}^{2}}{{(x-1)}^{5}}{{(x-2)}^{2}}{{(x+3)}^{3}}\,and\,17x{{(x-2)}^{2}}\]

E)  None of these