i) \( 2 x^{2}-6 x+4 \) 1) \( 5 x^{2}+15 x+10 \) m) \( 2 x^{4}-12 x^{3}+10 x^{2} \rightarrow \) Find the common Fodoy o) \( 6 x^{3} y+25 x^{2} y+30 x y \)

To find the common factor of the given expressions, we need to factor out the greatest common factor (GCF) from each expression. 1. For the expression \(2x^{2} - 6x + 4\): - The GCF of the coefficients is 2. - The GCF of the variables is \(x^{2}\). - Therefore, the common factor is \(2x^{2}\). 2. For the expression \(5x^{2} + 15x + 10\): - The GCF of the coefficients is 5. - The GCF of the variables is \(x^{2}\). - Therefore, the common factor is \(5x^{2}\). 3. For the expression \(2x^{4} - 12x^{3} + 10x^{2}\): - The GCF of the coefficients is 2. - The GCF of the variables is \(x^{2}\). - Therefore, the common factor is \(2x^{2}\). 4. For the expression \(6x^{3}y + 25x^{2}y + 30xy\): - The GCF of the coefficients is 1. - The GCF of the variables is \(xy\). - Therefore, the common factor is \(xy\). So, the common factors are: - \(2x^{2}\) for the first expression. - \(5x^{2}\) for the second expression. - \(2x^{2}\) for the third expression. - \(xy\) for the fourth expression.