Factor out the greatest common factor from the following polynomial \( 7 y^{5}-28 x y^{6} \) Select the correct choice below and, if necessary, fill in the answer

1. Identify the greatest common factor (GCF) in both terms: - Numerical coefficients: The numbers are \(7\) and \(-28\), and the GCF is \(7\). - Variable factors: The first term has \(y^5\) and the second term has \(y^6\), so the GCF is \(y^5\) (the lower power). 2. Factor out \(7y^5\) from each term: \[ 7y^5 - 28xy^6 = 7y^5\left( \frac{7y^5}{7y^5} - \frac{28xy^6}{7y^5} \right) \] Simplify each term inside the parentheses: - The first term: \(\frac{7y^5}{7y^5} = 1\). - The second term: \(\frac{-28xy^6}{7y^5} = -4xy\). 3. Write the completely factored form: \[ 7y^5 - 28xy^6 = 7y^5(1 - 4xy) \]