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Question

Find the greatest common factor (GCF/HCF) of the following polynomial:
15a3, − 45a2, − 150a

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Solution

The numerical coefficients of the given monomials are 15, -45 and -150. The greatest common factor of 15, -45 and -150 is 15.
The common literal appearing in the three monomials is a.

The smallest power of a in the three monomials is 1.
​Hence, the greatest common factor is 15a.

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