Question

What is the standard form of a quadratic equation when the roots are -2 and 2\3

Answer 1

`\bf \begin{cases} x=-2\implies &x+2=0\\[1em] x=\cfrac{2}{3}\\[1em] 3x=2\implies &3x-2=0 \end{cases}~\hspace{7em}(x+2)(3x-2)=\stackrel{y}{0} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{and using FOIL}}{3x^2+4x-4=y}~\hfill`