describing a polynomial change to factor\nisiah determined that $5a^{2}$ is the gcf of the polynomial…

Explanation:

Step1: Analyze each term's factors

The first - term $a^{3}=a\times a\times a$. The second - term $-25a^{2}b^{5}=-1\times5\times5\times a\times a\times b\times b\times b\times b\times b$. The third - term $-35b^{4}=-1\times5\times7\times b\times b\times b\times b$.

Step2: Find the GCF of the coefficients and variables

The GCF of the coefficients 1, 25, and 35 is 1. The variable part: the first term has $a^{3}$, the second term has $a^{2}$, and the third term has no $a$. The GCF of the variable part related to $a$ is 1 (since the third term doesn't have $a$). The GCF of the polynomial $a^{3}-25a^{2}b^{5}-35b^{4}$ is 1.

Answer:

No, he is not correct. The GCF of the polynomial $a^{3}-25a^{2}b^{5}-35b^{4}$ is 1, not $5a^{2}$ because the third term $-35b^{4}$ does not have the variable $a$.