What will be the greatest common factor of these four monomials?
$12 x$ , $24 x^{2}$ , $36 x^{3}$ , $48 x^{4}$

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12 x

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12 x^{2}

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None of the above

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Solution

The correct option is B $12 x$
Given Monomials are: $12 x$ , $24 x^{2}$ , $36 x^{3}$ , $48 x^{4}$

They can be factorise as: $12 x \times 1$ , $12 x \times 2 x$ , $12 x \times 3 x^{2}$ , $12 x \times 4 x^{3}$
$⟹$ $12 x$ is common factor in all monomials which is largest also.

$∴$ $12 x$ will be the greatest common factor.

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