“If x² – 3x – 10 = 0 and one factor is 5 what is the other factor?”

"The quadratic equation x² - 3x - 10 = 0 factors as (x - 5)(x + 2) = 0 since 5 * (-2) = -10 and 5 + (-2) = -3. Given one factor is x - 5 (root x = 5) the other is x + 2 (root x = -2). The factor corresponds to the root -2. Factoring quadratics is a fundamental algebraic skill applied in optimization problems and system modeling across disciplines like economics and engineering."