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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