Factor the given polynomial by finding the greatest common monomial factor (or the negativ \[ x^{2}+13 x y \] Answer

To factor the polynomial \( x^{2} + 13xy \), we first identify the greatest common factor (GCF) of the two terms. Here, both terms share a common factor of \( x \). Thus, we can factor out \( x \) from the expression: \[ x(x + 13y) \] Now we have factored the polynomial into \( x \) and \( (x + 13y) \). For some extra knowledge, did you know that factoring polynomials is often like breaking down a recipe into its basic ingredients? In mathematics, this helps highlight underlying relationships. When working with polynomials, always look for GCF first! Common mistakes include overlooking negative signs or forgetting to factor out all of the common variables, so double-check for complete factors!