\( 1 \leftarrow \quad \) Factor out the greatest common factor from the following polynomial. \[ 7 y^{5}-28 x y^{6} \]

1. Identify the greatest common factor (GCF) of the terms \( 7y^5 \) and \(-28xy^6 \). - The coefficient \(7\) is a factor of both \(7\) and \(-28\). - The variable \( y \) appears as \( y^5 \) in the first term and \( y^6 \) in the second term; the highest power that divides both is \( y^5 \). - The variable \( x \) appears only in the second term, so it is not part of the GCF. 2. The GCF is \( 7y^5 \). 3. Factor \( 7y^5 \) out of 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: - First term: \( \frac{7y^5}{7y^5} = 1 \). - Second term: \( \frac{-28xy^6}{7y^5} = -4xy \) (since \( \frac{28}{7} = 4 \) and \( \frac{y^6}{y^5} = y \)). 4. The factored form is: \[ 7y^5(1 - 4xy) \]