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What are Vieta's formulas for the sum and product of the roots of a quadratic equation $ax^2 + bx + c = 0$?

Study flashcard from the deck Digital SAT Math: Algebra, Advanced Math & Geometry.

Answer

Sum of the roots: $r_1 + r_2 = -\frac{b}{a}$. Product of the roots: $r_1 \cdot r_2 = \frac{c}{a}$.

Explanation

Vieta's formulas bypass factoring or the quadratic formula when the question asks for the sum or product of solutions, saving significant time.

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