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Answer :
The greatest common factor (GCF ) of 30x² and 45x⁵ is 5x².
Hence, option C is correct.
Use the concept of multiplication defined as:
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that,
Two numbers are 30x² and 45x⁵.
We need to find the greatest common factor (GCF).
To find the greatest common factor (GCF) of 30x² and 45x⁵,
We need to identify the highest power of each variable that appears in both terms.
For 30x², we have 2 as the highest power of x.
For 45x⁵, we have 5 as the highest power of x.
Since the GCF is the lowest power of x that appears in both terms, the GCF of 30x² and 45x⁵ is 5x².
Therefore, the correct answer is (C) 5x².
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