To find: create one polynomial whose degree must be higher than 2 and with rational zeros.The factored form of polynomial function

\(\displaystyle{P}{\left({x}\right)}={\left({x}-{1}\right)}{\left({x}-{2}\right)}{\left({x}-{3}\right)}\)

Where \(\displaystyle{1},\ {2},\ {3}\) are the rational zeros.

A polynomial function whose degree is higher than 2 and with rational zeros.

\(\displaystyle{P}{\left({x}\right)}={x}^{{{3}}}-{6}{x}^{{{2}}}+{11}{x}-{6}\)

\(\displaystyle{P}{\left({x}\right)}={\left({x}-{1}\right)}{\left({x}-{2}\right)}{\left({x}-{3}\right)}\)

Where \(\displaystyle{1},\ {2},\ {3}\) are the rational zeros.

A polynomial function whose degree is higher than 2 and with rational zeros.

\(\displaystyle{P}{\left({x}\right)}={x}^{{{3}}}-{6}{x}^{{{2}}}+{11}{x}-{6}\)