Answer:
Sample Response: No, Isiah is not correct. The GCF of the coefficients is 1, and there are no common variables among all three terms of the polynomial. 5b4 is a factor of -25a2b5 and -35b4, but not a3. Additionally, a2 is a factor of a3 and -25a2b5, but not -35b4.
Step-by-step explanation:
Sample Response: No, Isiah is not correct. The GCF of the coefficients is 1, and there are no common variables among all three terms of the polynomial. 5b4 is a factor of -25a2b5 and -35b4, but not a3. Additionally, a2 is a factor of a3 and -25a2b5, but not -35b4.
Isiah's determination of GCF is wrong. The greatest common factor GCF of the terms of the given polynomial is 1.
The given polynomial is [tex]a^3 - 25a^2b^5 - 35b^4[/tex].
The polynomial has three terms which are: [tex]a^3 , \;25a^2b^5, \; 35b^4[/tex].
Now, the three given terms of the polynomial are identical because they don't have anything in common.
For example, terms [tex]a^3 , \;25a^2b^5[/tex] have [tex]a^2[/tex] as common but that doesn't exist in the third term [tex]35b^4[/tex].
So, it is clear that the three terms don't have anything in common other than 1.
Therefore, the greatest common factor GCF of the terms of the given polynomial is 1. So, Isiah's determination of GCF is wrong.
For more details, refer to the link:
https://brainly.com/question/11154053
