Answer :
Final answer:
To find the greatest common factor (GCF) for the list of terms 110x^3, 70x^4, and 60x^9, determine the highest power of x that can be divided evenly into each term and find the GCF of the coefficients.
Explanation:
To find the greatest common factor (GCF) for the list of terms 110x^3, 70x^4, 60x^9, we need to identify the highest power of x that can be divided evenly into each term.
Starting with the coefficients, the GCF of 110, 70, and 60 is 10.
Then, looking at the exponents of x, the highest power of x that can be divided evenly into x^3, x^4, and x^9 is x^3.
Therefore, the GCF is 10x^3.
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The complete question is here:
Find the greatest common factor for the list of the terms.
110x^3, 70x^4, 60x^9
Answer:
[tex]10x^3[/tex]
Step-by-step explanation:
The only variable in any of the expressions is x, so the least power of it (3) will be a common factor.
The constants are all multiples of 10, but have no other common factor.
The greatest common factor is the product of these common factors:
10x³