Finding Roots Through Factorization Setting y to zero helps find the roots or x-intercepts of a quadratic equation. Factoring yields roots at -2 and 3, giving a sum of 1 and product of -6. The formulas for these calculations are derived from coefficients: the sum is given by -b/a, while the product is c/a.
Efficient Calculation Using Formulas Using the quadratic formula simplifies finding sums and products without extensive factoring work. For example, with complex quadratics like ax² + bx + c = 0, applying b over a gives an efficient way to calculate root sums as well as using c over a for their products. These methods save time in solving equations during tests or studies.