If the LCM and HCF of two quadratic polynomials are \[{{\mathbf{x}}^{\mathbf{3}}}-\mathbf{7x}+\mathbf{6}\] and \[\left( \mathbf{x}-\mathbf{1} \right)\] respectively, find the polynomials.

\[\left( {{x}^{2}}+3x+2 \right),\left( {{x}^{2}}+2x+3 \right)\]

\[\left( {{x}^{2}}-3x+2 \right),\left( {{x}^{2}}+2x+3 \right)\]

\[\left( {{x}^{2}}+3x-2 \right),\left( {{x}^{2}}-2x+3 \right)\]

\[\left( {{x}^{2}}-3x+2 \right),\left( {{x}^{2}}+2x-3 \right)\]

If the LCM and HCF of two quadratic polynomials are \[{{\mathbf{x}}^{\

1.	If the LCM and HCF of two quadratic polynomials are \[{{\mathbf{x}}^{\mathbf{3}}}-\mathbf{7x}+\mathbf{6}\] and \[\left( \mathbf{x}-\mathbf{1} \right)\] respectively, find the polynomials.
A.	\[\left( {{x}^{2}}-3x+2 \right),\left( {{x}^{2}}+2x+3 \right)\]
B.	\[\left( {{x}^{2}}+3x-2 \right),\left( {{x}^{2}}-2x+3 \right)\]
C.	\[\left( {{x}^{2}}-3x+2 \right),\left( {{x}^{2}}+2x-3 \right)\]
D.	\[\left( {{x}^{2}}+3x+2 \right),\left( {{x}^{2}}+2x+3 \right)\]
Answer» D. \[\left( {{x}^{2}}+3x+2 \right),\left( {{x}^{2}}+2x+3 \right)\]

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If the LCM and HCF of two quadratic polynomials are \[{{\mathbf{x}}^{\mathbf{3}}}-\mathbf{7x}+\mathbf{6}\] and \[\left( \mathbf{x}-\mathbf{1} \right)\] respectively, find the polynomials.

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