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Find the Greatest Common Factor (Gcf/Hcf) of the Following Polynomial: 2x2 and 12x2 - Mathematics

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Question

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

Sum

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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Chapter 7: Factorization - Exercise 7.1 [Page 3]

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RD Sharma Mathematics [English] Class 8
Chapter 7 Factorization
Exercise 7.1 | Q 1 | Page 3

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