The GCD of two polynomials is $x y^{2} z^{2}$ and their LCM is $x y^{3} z^{8}$ . If one of the polynomials is $x y^{2} z^{2}$ , then the other one is .

x y^{3} z^{8}

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x y^{2} z^{6}

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x y^{3} z^{6}

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x y^{2} z^{8}

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Solution

The correct option is A $x y^{3} z^{8}$
We know that the product of two polynomials is the product of their LCM and GCD.
Let the unknown polynomial be $X$ .
So, $x y^{2} z^{2} \times X = x y^{3} z^{8} \times x y^{2} z^{2}$
Hence, $X = x y^{3} z^{8}$

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