1. The problem is to understand if the quadratic formula can be used for factoring quadratic expressions. 2. The quadratic formula is primarily used to find the roots (solutions) of the quadratic equation $ax^2 + bx + c = 0$. 3. Factoring means expressing the quadratic as a product of two binomials, for example, $a(x - r_1)(x - r_2)$ where $r_1$ and $r_2$ are roots. 4. If you find the roots $r_1$ and $r_2$ using the quadratic formula: $$r_1 = \frac{-b + \sqrt{b^2 - 4ac}}{2a}, \quad r_2 = \frac{-b - \sqrt{b^2 - 4ac}}{2a}$$ 5. Then you can write the factorization as: $$ax^2 + bx + c = a(x - r_1)(x - r_2)$$ 6. So yes, the quadratic formula helps find the roots which can then be used to factor the quadratic expression. 7. Note: If the roots are complex or irrational, the factorization will involve complex or irrational numbers accordingly.