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

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

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

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

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

The LCM and HCF of the polynomials \[\mathbf{p(x)=51 }{{\mathbf{x}}^

1.	The LCM and HCF of the polynomials \[\mathbf{p(x)=51 }{{\mathbf{x}}^{\mathbf{2}}}\mathbf{ (x+3}{{\mathbf{)}}^{\mathbf{3}}}\mathbf{ (x-2}{{\mathbf{)}}^{\mathbf{2}}}\] and \[\mathbf{q(x)=34x (x-1}{{\mathbf{)}}^{\mathbf{5}}}\mathbf{ (x-2}{{\mathbf{)}}^{\mathbf{3}}}\] 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
Answer» D. \[102{{x}^{2}} {{(x-1)}^{5}}{{(x-2)}^{2}}{{(x+3)}^{3}} and 17x{{(x-2)}^{2}}\]

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

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