y(y^2 - 5y + 6) = 0 \Rightarrow y(y - 2)(y - 3) = 0

Fri, 17 Apr 2026 07:44:27 +0000

Understanding the Equation: Solving y(y² – 5y + 6) = 0 and Why It Equals y(y – 2)(y – 3) = 0 When solving quadratic and polynomial equations, factoring plays a crucial role in simplifying expressions and finding solutions efficiently. One classic example is the equation:
y(y² – 5y + 6) = 0 But why is this equation rewritten as y(y – 2)(y – 3) = 0? And how does factoring help in finding the roots? In this SEO-optimized article, we’ll explore step-by-step how this transformation works and how factoring enables us to solve the equation quickly using the zero-product property. ---