👉 Bailey Math, also known as Bailey's Law, is a principle in mathematics that describes a specific pattern or relationship among the solutions of polynomial equations. It states that if \( f(x) \) is a polynomial equation of degree \( n \), and \( r_1, r_2, \ldots, r_n \) are its roots, then the product of these roots taken \( k \) at a time (where \( 1 \leq k \leq n \)) is given by the constant term of the polynomial divided by the leading coefficient, with a sign change if the degree \( n \) is odd. For example, for a cubic equation \( ax^3 + bx^2 + cx + d = 0 \), the product of its roots \( r_1r_2r_3 \) is \( -\frac{d}{a} \). This principle simplifies the understanding of how roots interact in polynomial equations, especially in higher degrees.
