Let $f\left(x\right)=a{x}^2+bx+c$. Then, match the following.
$\begin{array}{cc}\text{a. Sum of roots of f(x) = 0}& 1.–\frac{b}{a}\\ \text{b. Product of roots of f(x) = 0}& 2.\frac{c}{a}\\ \text{c. Roots of f(x) = 0 are real and distinct}& 3.b^2–4ac=0\\ \text{d. Roots of f(x) = 0 are real and identical.}& 4.b^2–4ac>0\end{array}$

Let $f\left(x\right)=a{x}^2+bx+c$. Then, match the following.
$\begin{array}{cc}\text{a. Sum of roots of f(x) = 0}& 1.–\frac{b}{a}\\ \text{b. Product of roots of f(x) = 0}& 2.\frac{c}{a}\\ \text{c. Roots of f(x) = 0 are real and distinct}& 3.b^2–4ac=0\\ \text{d. Roots of f(x) = 0 are real and identical.}& 4.b^2–4ac>0\end{array}$

The roots of a quadratic equation $a{x}^2+bx+c=0$ are given by $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$, provided $b^2–4ac\ge 0$.