## Algebra 2 Common Core

\begin{align*} \text{Sum: }& 2 \\\\ \text{Product: }& 1 \end{align*}
Given the quadratic equation $ax^2+bx+c=0,$ the sum and product of its roots are given by the following ratios: \begin{align*} \text{Sum: }&-\dfrac{b}{a} \\\\ \text{Product: }&\dfrac{c}{a} .\end{align*} Hence, the sum and product of the roots of the given equation, $x^2-2x+1=0 ,$ are \begin{align*} \text{Sum: }&-\dfrac{-2}{1} \\&= 2 \\\\ \text{Product: }&\dfrac{1}{1} \\&= 1 .\end{align*}