Find the greatest common factor of the polynomial: 2 x^2 and 12 x… - Vidyadip

Question

Find the greatest common factor of the polynomial:
$2 x^2$ and $12 x^2$

✓

Answer

The numerical coefficients of the given monomials are 2 and 12.
So, the greatest common factor of 2 and 12 is 2.
The common literal appearing in the given monomials is $x$.
The smallest power of $x$ in the two monomials is 2 .
The monomial of the common literals with the smallest powers is $x^2$.
Hence, the greatest common factor is $2 x^2$.

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