Factored form of the quadratic function f(x) is

\(f(x)=(x-p)(x-q)\)

put \(p=2, q=-3\)

\(=(x-2)(x-(-3))\)

\(f(x)=(x-2)(x+3))\)

Standart form of a quadraticfunction is \(f(x)=(x-2)(x+3)\)

\(\displaystyle={x}{\left({x}+{3}\right)}-{2}{\left({x}+{3}\right)}\)

\(\displaystyle={x}^{{2}}+{3}{x}-{2}{x}-{6}\)

\(\displaystyle{f{{\left({x}\right)}}}={x}^{{2}}+{x}-{6}\)