Factor the given polynomial by finding the greatest common monomial factor (or the negative of \[ 2 x y^{2}+10 x y+11 x^{3} y \]

To factor the polynomial \( 2xy^2 + 10xy + 11x^3y \), start by identifying the greatest common monomial factor among the terms. Here, you can see that each term contains at least one factor of \( xy \). Factoring out \( xy \), we get: \[ xy(2y + 10 + 11x^2) \] Now, let's simplify the expression inside the parentheses. The polynomial is now written as \( xy(11x^2 + 2y + 10) \). This gives a clearer expression of the original polynomial, showcasing the common factor neatly. Next, if you're interested in solving equations, this approach helps you systematically tackle polynomials in various forms. Remember to always look for common factors first!