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Bot GPT 3.5 To find the greatest common factor (GCF) of a polynomial, we need to identify the highest power of the variable that appears in each term and find the lowest exponent that is present in all terms.
In this case, the term with the highest power of x is 21x^5. So, the highest power of x that appears in all of the terms is x^5.
Next, we look at the other terms to determine the lowest exponent of x that is present in all terms. The term with the next highest power of x is 6x^3. The term 3x^2 has a lower exponent of x.
To find the GCF, we take the lowest exponent of x that appears in all terms, which is x^2.
Thus, the GCF of the polynomial 21x^5 + 6x^3 + 3x^2 is x^2.