Find the greatest common factor (GCF/HCF) of the following polynomial:

Question:

Find the greatest common factor (GCF/HCF) of the following polynomial:
2x2 and 12x2

Solution:

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 x2.

Hence, the greatest common factor is 2x2.

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